{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5f673202-c42f-4ee7-85e1-1c06ae7e7202",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import os\n",
    "import matplotlib as mpl\n",
    "from scipy.stats import lognorm\n",
    "from scipy.stats import beta \n",
    "import scipy as scp\n",
    "import matplotlib as mpl\n",
    "\n",
    "mpl.rc('font',family = 'Times New Roman')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "beaf9f91-7a87-4239-bda7-6645549829cc",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rsquared(x,y):\n",
    "    SStot = 0\n",
    "    for i in range(len(y)):\n",
    "        SStot=SStot+(y[i]-np.mean(y))**2\n",
    "\n",
    "    SSres = 0\n",
    "\n",
    "    for i in range(len(y)):\n",
    "        SSres=SSres+(y[i]-x[i])**2\n",
    "\n",
    "    return 1-(SSres/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "6a058ae2-3ea5-4854-a5f2-5b272c5153f3",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "g = 9.805\n",
    "\n",
    "H = 16.5\n",
    "R = 13.9\n",
    "n = 8\n",
    "bw = 2*np.pi*R/n\n",
    "\n",
    "fillr = 0.95\n",
    "\n",
    "ro = 0.998\n",
    "ph = ro*g*H*fillr\n",
    "p = ph*bw\n",
    "\n",
    "tb = 8/1000\n",
    "tw = 17/1000\n",
    "A = bw*tb\n",
    "I = bw*tb**3/12\n",
    "Zp = bw*tb**2/4\n",
    "Es = 210000000\n",
    "v = 0.3 \n",
    "Fys = 235000\n",
    "My = Fys*Zp\n",
    "\n",
    "ros = 7.850 #density of steel\n",
    "Ww = ros*g*H*bw*tw #weight of wall over one side of the strip\n",
    "tr = 31/1000\n",
    "mr = 35\n",
    "Wr = mr*g #weight of roof\n",
    "Wrr = Wr/n\n",
    "mtot = ro*H*fillr*np.pi*R**2\n",
    "Wtot = mtot*g\n",
    "\n",
    "kuu = Es*bw*(tw/R)**1.5/((3*(1-v**2))**0.25)\n",
    "ktt = Es*bw*tw**2*(tw/R)**0.5/(2*(3*(1-v**2))**0.75)\n",
    "ktu = -Es*bw*tw*(tw/R)/(2*(3*(1-v**2))**0.5)\n",
    "\n",
    "kuus = kuu-ktu**2/ktt\n",
    "dtu = -ktu/(ktt*kuu-ktu**2)\n",
    "dtt = kuu/(ktt*kuu-ktu**2)\n",
    "\n",
    "Ly = (6*My/p)**0.5\n",
    "wy = p*Ly**4/(72*Es*I)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bbca4ba7-f409-4296-a5a9-97bfe4c190e1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.005143420076563426"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e219adee-6f65-4307-91e2-9e3d169669ac",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#String Solution\n",
    "L = np.linspace(0,5,1000)\n",
    "N = np.zeros(len(L))\n",
    "for i in range(len(L)):\n",
    "    N[i] = 0.55*p*L[i]*((kuus/p)/(1+kuus*L[i]/(A*Es)))**(1/3)\n",
    "    \n",
    "Vs = np.zeros(len(L))\n",
    "ws = np.zeros(len(L))\n",
    "\n",
    "for i in range(len(L)):\n",
    "    Vs[i] = p*L[i]\n",
    "    if(i!=0):\n",
    "        ws[i] = p*L[i]**2/(2*N[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "170bd325-9eb9-4ebd-aa71-f80ade62832b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#Bending Solution\n",
    "wb = np.zeros(len(L))\n",
    "Vb = np.zeros(len(L))\n",
    "\n",
    "for i in range(1,len(L)):\n",
    "    M1 = -((ktt)/(ktt+2*Es*I/L[i]))*(p*L[i]**2/6)\n",
    "    if(abs(M1)>My):\n",
    "        M1 = -My\n",
    "    wb[i] = p*L[i]**4/(24*Es*I)+M1*L[i]**2/(6*Es*I)\n",
    "    Vb[i] = p*L[i]/2 - M1/L[i]\n",
    "    Lmax = 3.414*(My/p)**0.5\n",
    "    if(L[i]>=Lmax):\n",
    "        Vb[i] = p*Lmax/2 - M1/Lmax\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "971d08b4-4726-413b-8225-43b966ca97ad",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "pull = np.loadtxt('./ResultsBP/disp.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "33d48d21-b1d6-4f77-8d6b-41c57a215c87",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x263d7000250>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.title('Strip of Base Plate of 11.83 m width')\n",
    "plt.plot((pull[:,1]),(pull[:,0]),label='Beam FE Model Bakalis et al.(2017)')\n",
    "plt.xlim(0,0.5)\n",
    "plt.ylim(0,5000)\n",
    "plt.plot(wb,Vb,label='Bending Solution Malhotra & Veletsos (1994)')\n",
    "plt.plot(ws,Vs,label='String Solution Malhotra & Veletsos (1994)')\n",
    "#plt.plot((0.006,0.006),(0,3000),ls='--',color='k')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "#plt.plot((0,0.0049),(0,574),color='k')\n",
    "#plt.plot((0.0049,0.5),(574,3300),color='k',label='Proposed method')\n",
    "plt.legend()\n",
    "\n",
    "\n",
    "\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure2_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81a00a5b-501a-4096-8150-9d2c2157d5e2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Rotation_Uplift(theta):\n",
    "    Lm2a=Ly+0.01\n",
    "    Lm2b=0\n",
    "    true = 0\n",
    "    while(true==0):\n",
    "        wm2 = theta/((2/Lm2a)-(1/(2*R)))\n",
    "        N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "        Lm2b = (2*wm2*N2/p)**0.5+Ly\n",
    "        if(abs(Lm2a-Lm2b)<0.001):\n",
    "            true = 1\n",
    "        else:\n",
    "            Lm2a=Lm2b\n",
    "    return wm2,Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a8540e4d-3d1c-48a2-8947-919fcac1942f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.95306684505348"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1,Lpl1 = Rotation_Uplift(0.2)\n",
    "wpl1/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "788dc88f-dc54-43d8-aea4-03ea4de3f316",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "41.480898404097076"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl2,Lpl2 = Rotation_Uplift(0.4)\n",
    "wpl2/wy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "67cb8b5e-f57a-4252-b05b-7bdedd456ec6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "L1t =np.linspace(0.1,0.9,1000)\n",
    "w1t =np.zeros(len(L1t))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    true = 0\n",
    "    N = 300\n",
    "    #print(L1t[i])\n",
    "\n",
    "    while(true==0):\n",
    "        lam = (N*L1t[i]**2/(Es*I))**0.5\n",
    "        dtheta = 0\n",
    "        M1 = ((p*L1t[i]/N)*(1-(2/lam)*np.tanh(lam/2))+dtu*N-dtheta)/(L1t[i]/(Es*I*lam)*np.tanh(lam/2)+dtt)\n",
    "        if(abs(M1)<My):\n",
    "            M1 = -M1\n",
    "        else:\n",
    "            M1 = -My\n",
    "\n",
    "        C = ((M1*L1t[i])/(Es*I))*(1/np.sinh(lam))+(p*L1t[i]/N)*np.tanh(lam/2)\n",
    "        D = -p*L1t[i]/N\n",
    "        u1 = (N*L1t[i]/(A*Es))-((D**2*L1t[i]/(2*lam**2))*(-0.5+((lam**2)/3)+(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))-(2*np.cosh(lam))))-((C**2*L1t[i]/(2*lam**2))*(1.5-(2*np.sinh(lam)/lam)+(np.sinh(2*lam)/(4*lam))))-((C*D*L1t[i]/(2*lam**2))*(lam-1/(2*lam)-(2*np.sinh(lam))+(np.cosh(2*lam)/(2*lam))))\n",
    "\n",
    "        N1 = -(kuu-(ktu**2/ktt))*u1+(ktu/ktt)*M1\n",
    "        #print(N1)\n",
    "        if(abs(N-N1)<0.1):\n",
    "            true = 1\n",
    "        else:\n",
    "            N = N1\n",
    "        #print(N)\n",
    "    #print(i)\n",
    "    w1t[i] = (M1/N)*(1-(lam/np.sinh(lam)))+(p*L1t[i]**2/(2*N))*(1-(2/lam)*np.tanh(lam/2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "93d181ea-e20b-4dc6-8f20-01ebfbbf9d4d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "winkSpring = np.loadtxt('./ResultsBP/WinklerSprings.out')\n",
    "lb = 50/1000\n",
    "\n",
    "nZeros = np.zeros(len(winkSpring))\n",
    "Lfe = np.zeros(len(winkSpring))\n",
    "\n",
    "for i in range(len(Lfe)):\n",
    "    if(winkSpring[i][-1]==0):\n",
    "        for j in range(len(winkSpring[i])):\n",
    "            if(winkSpring[i][j] == 0):\n",
    "                nZeros[i] = nZeros[i]+1\n",
    "            \n",
    "Lfe = nZeros*lb  \n",
    "ind = []\n",
    "ind.append(0)\n",
    "for i in range(len(Lfe)-1):\n",
    "    if(Lfe[i]!=Lfe[i+1]):\n",
    "        ind.append(i+1)\n",
    "        \n",
    "for i in range(1,len(ind)):\n",
    "    delta = (Lfe[ind[i]]-Lfe[ind[i-1]])/(ind[i]-ind[i-1])\n",
    "    for j in range(ind[i-1],ind[i]):\n",
    "        Lfe[j] = Lfe[ind[i-1]] + delta*(j-ind[i-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "88a78515-5d80-419a-804f-d4313272b3d2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Uplift_SepL(w):\n",
    "    if(w<=wy):\n",
    "        return w*(Ly/wy)\n",
    "    else:\n",
    "        Lm2a=Ly+0.01\n",
    "        Lm2b=0\n",
    "        true = 0\n",
    "        while(true==0):\n",
    "            N2 = 0.55*(Lm2a-Ly)*p*((kuus/p)/(1+kuus*(Lm2a-Ly)/(A*Es)))**(1/3)\n",
    "            Lm2b = (2*w*N2/p)**0.5+Ly\n",
    "            if(abs(Lm2a-Lm2b)<0.0001):\n",
    "                true = 1\n",
    "            else:\n",
    "                Lm2a=Lm2b\n",
    "            #print(Lm2a)\n",
    "        return Lm2b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "417e298a-b609-47e3-b53d-70a61202c9b9",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w2 = np.linspace(0,0.5,100)\n",
    "L2 = np.zeros(len(w2))\n",
    "for i in range(len(w2)):\n",
    "    L2[i] = Uplift_SepL(w2[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "aa40cb5f-d04a-494d-b8fc-918502282482",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "w3 = w1t\n",
    "L3 = np.zeros(len(w3))\n",
    "for i in range(len(w3)):\n",
    "    L3[i] = Uplift_SepL(w3[i])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c789244c-6f01-4d3f-88b9-0edf0f39d34f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8589551496939664"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(L3,L1t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c4bb172b-b5d7-4936-ad8f-9f463a2b5f6b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.06827761758015473"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REL = np.zeros((len(L1t)))\n",
    "\n",
    "for i in range(len(L1t)):\n",
    "    REL[i] = abs(L1t[i]-L3[i])\n",
    "MREL= np.mean(REL)\n",
    "MREL"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "54b299e4-56de-4bd6-9fb7-6c0716046ad6",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBKL = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_L_1.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "7708b543-1d77-47e4-90b2-af14816d567e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Separation Length, $L$ [m]')"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.plot(wb,L)\n",
    "#plt.plot(ws,L)\n",
    "w1 = np.linspace(0,1.5,1000)\n",
    "L1 = np.zeros(len(w1))\n",
    "for i in range(len(w1)):\n",
    "    L1[i] = 2*w1[i]/(0.2+w1[i]/(2*R))\n",
    "\n",
    "plt.plot(w1,L1)\n",
    "plt.plot(pull[:,1],Lfe,label='Finite Elements Solution')\n",
    "plt.plot(w1t,L1t,label='Exact Solution')\n",
    "plt.plot(w2,L2,color='k',label='Proposed Solution')\n",
    "plt.plot(dataBKL[:,0]/1000,dataBKL[:,1]/1000,label='Refined FE, B&K')\n",
    "#plt.plot(ws,ws/(0.2+ws/(2*R)))\n",
    "plt.xlim(0,0.2)\n",
    "plt.ylim(0,2)\n",
    "\n",
    "plt.legend()\n",
    "plt.xlabel(r'Uplift, $w$ [m]')\n",
    "plt.ylabel(r'Separation Length, $L$ [m]')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ab2420b0-8805-4deb-8b70-f396faa23b8d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x263d4e27fd0>]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(wb,Vb)\n",
    "plt.plot(ws,Vs)\n",
    "plt.xlim(0,0.3)\n",
    "plt.ylim(0,3000)\n",
    "plt.plot((0.005,0.005),(0,3000),ls='--',color='k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5c3ab52f-d600-4e48-9462-721d73c0231b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model Built\n",
      "Pushover analysis completed\n",
      "Done\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING analysis Static - no Integrator specified, \n",
      " StaticIntegrator default will be used\n"
     ]
    }
   ],
   "source": [
    "#Units in m and kN\n",
    "import openseespy.opensees as op\n",
    "op.wipe()\n",
    "op.model('basic', '-ndm', 2, '-ndf', 3) \n",
    "\n",
    "op.node(1, 0.0, 0.0)\n",
    "op.node(2, 0.0, 0.0)\n",
    "\n",
    "op.fix(1, 1, 1, 1)\n",
    "nodeR = 1\n",
    "nodeC = 2\n",
    "op.equalDOF(nodeR, nodeC, 2, 3)\n",
    "\n",
    "matTag1 = 5\n",
    "ePf1 = 450\n",
    "ePd1 = 0.005\n",
    "k1 = ePf1/ePd1\n",
    "\n",
    "ePf2 = 600\n",
    "ePd2 = 0.09\n",
    "k2 = (ePf2-ePf1)/(ePd2-ePd1)\n",
    "\n",
    "sigAct = ePf1\n",
    "beta =0.4\n",
    "epsSlip = 0.0\n",
    "epsBear = 0.2\n",
    "\n",
    "ePf3 = 2000\n",
    "ePd3 = 0.4\n",
    "\n",
    "k3 = (ePf3-ePf2)/(ePd3-ePd2)\n",
    "\n",
    "rBear = k3/k1\n",
    "\n",
    "op.uniaxialMaterial('SelfCentering',matTag1,k1,k2,sigAct,beta,epsSlip,epsBear,rBear)\n",
    "matTag2 = 6\n",
    "K = 800/0.3\n",
    "op.uniaxialMaterial('Elastic',matTag2,K,0,1e10)\n",
    "\n",
    "#matTag3 = 7\n",
    "#k2 = ePf2/ePd2\n",
    "#dy = ePd1\n",
    "#Fy = k2*dy\n",
    "#b = 0\n",
    "\n",
    "#op.uniaxialMaterial('Steel01',matTag3,Fy,k2,b)\n",
    "\n",
    "ParMatTag = 8\n",
    "op.uniaxialMaterial('Parallel',ParMatTag,matTag1,matTag2)\n",
    "\n",
    "\n",
    "eleID = 5\n",
    "\n",
    "op.element('zeroLength', eleID, nodeR, nodeC, '-mat', ParMatTag, '-dir',1)\n",
    "\n",
    "print(\"Model Built\")\n",
    "\n",
    "op.recorder('Node', '-file', 'Force.out','-node', 1, '-dof', 1, 'reaction')\n",
    "op.recorder('Node', '-file', 'DispS.out','-node', 2, '-dof', 1, 'disp')\n",
    "\n",
    "displist = [3/1000,0,3/1000,0,10/1000,0,10/1000,0,20/1000,0,20/1000,0,30/1000,0,30/1000,0,50/1000,0,50/1000,0,100/1000,0,100/1000,0,150/1000,0,150/1000,0,200/1000,0,200/1000,0,300/1000,0,300/1000,0,500/1000,0,500/1000,1000/1000,0,1000/1000,0]\n",
    "#displist = [50/1000,0,50/1000,0]\n",
    "dstep = 1/1000\n",
    "ctrlNode = 2 # node where disp is read for disp control\n",
    "dof  = 1 # degree of freedom read for disp control (1 = x displacement)\n",
    "\n",
    "POtag = 100;\n",
    "linTS = 2\n",
    "op.timeSeries('Linear',linTS)\n",
    "\n",
    "op.pattern('Plain', POtag, linTS)     \n",
    "op.load(ctrlNode,1,0,0)\n",
    "op.reactions()\n",
    "Disp = [op.nodeDisp(ctrlNode,dof)]\n",
    "force = [op.nodeReaction(1,dof)]\n",
    "\n",
    "testParams = [1.e-4, 50]\n",
    "\n",
    "op.numberer('RCM') # renumber dof's to minimize band-width (optimization), if you want to\n",
    "op.system('BandGeneral') # how to store and solve the system of equations in the analysis\n",
    "op.constraints('Plain') # how it handles boundary conditions\n",
    "op.test('NormDispIncr',*testParams) # determine if convergence has been achieved at the end of an iteration step\n",
    "op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "op.analysis('Static') # define type of analysis static or transient\n",
    "\n",
    "ok = 0\n",
    "for j in range(0,len(displist)):\n",
    "    if(ok != 0):\n",
    "        break\n",
    "    dispnew = displist[j]\n",
    "    if(j > 0):\n",
    "        dispold = displist[j-1]\n",
    "    else:\n",
    "        dispold = 0\n",
    "    disp = dispnew - dispold\n",
    "    if(disp > 0):\n",
    "        dsteps = dstep\n",
    "    else:\n",
    "        dsteps = -dstep\n",
    "    nstep = int(disp/dsteps)\n",
    "    op.integrator('DisplacementControl', ctrlNode, dof, dsteps) # determine the next time step for an analysis\n",
    "    for i in range(nstep):\n",
    "        ok = op.analyze(1)\n",
    "        if(ok != 0):\n",
    "            testParams2 = [1.e-4, 2000]\n",
    "            op.test('EnergyIncr',*testParams2)\n",
    "            op.algorithm('Newton','-initial')\n",
    "            print(\"Trying Newton with Initial Tangent ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok!= 0):\n",
    "            op.algorithm('Broyden',50)\n",
    "            op.test('RelativeNormDispIncr',*testParams2)\n",
    "            print(\"Trying Broyden ..\")\n",
    "            ok = op.analyze(1) \n",
    "            op.test('NormDispIncr',*testParams) \n",
    "            op.algorithm('Newton') \n",
    "        if(ok != 0):\n",
    "            op.algorithm('NewtonLineSearch')\n",
    "            print(\"Trying NewtonWithLineSearch ..\")\n",
    "            ok = op.analyze(1)\n",
    "            op.algorithm('Newton') # use Newton's solution algorithm: updates tangent stiffness at every iteration\n",
    "        if(ok == 0):\n",
    "            #ctrlDisp.append(op.nodeDisp(ctrlNode,dof))\n",
    "            #force.append(op.nodeReaction(1,dof))\n",
    "            dsp = round(op.nodeDisp(ctrlNode,dof),3)\n",
    "            #print(f'Displacement {dsp} reached of {dispnew}')\n",
    "        else:\n",
    "            break\n",
    "print('Pushover analysis completed')\n",
    "\n",
    "if(ok != 0):\n",
    "    print('Problem with Pushover')\n",
    "else:\n",
    "    print('Done')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "df747cab-a5d6-4885-843c-e25787f644cf",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "f = np.loadtxt('Force.out')\n",
    "d = np.loadtxt('DispS.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "db4ca0ad-455a-4f07-9873-db07d6145c6e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8452"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f58809fa-ef76-4542-adde-257f112cb2c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "pullC = np.loadtxt('./ResultsBP/disp_Cyclic.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "1fdc9066-77d5-426d-a02e-64f23da8a124",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.title('Half Cycle Pushover')\n",
    "plt.plot((pullC[:,1]),(pullC[:,0]),label='Bakalis et al. (2017)')\n",
    "plt.plot(d,-f,label='Calibrated Self-Centering uniaxial zero length spring')\n",
    "#plt.plot((dy,dy),(0,2000),color='k',ls='--')\n",
    "#plt.plot((dc,dc),(0,2000),color='k',ls='--')\n",
    "#plt.plot((0,0.3),(Fc,Fc),color='k',ls='--')\n",
    "plt.ylim(-50,3000)\n",
    "plt.xlim(0,0.4)\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.legend()\n",
    "plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure3_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "6084e076-c410-4fe6-b55f-bb532043f32b",
   "metadata": {},
   "outputs": [],
   "source": [
    "inx = []\n",
    "for i in range(0,len(pullC[:,1])-1):\n",
    "    if(i == 0):\n",
    "        inx.append(1)\n",
    "    if(pullC[i-1,1]>pullC[i,1] and pullC[i+1,1]>pullC[i,1]):\n",
    "        inx.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "31ce15d9-e6b6-4172-9b2c-5c099c849876",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "inxN = []\n",
    "for i in range(0,len(d)-1):\n",
    "    if(i == 0):\n",
    "        inxN.append(1)\n",
    "    if(d[i-1]>d[i] and d[i+1]>d[i]):\n",
    "        inxN.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "a222c9fc-b4ca-45ef-875a-78a6f1a6a85e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(inxN)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "4bfa9804-0c0a-42e6-b5bd-77fa89c125e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x263d7bca850>]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n =16\n",
    "plt.plot(pullC[inx[n]:inx[n+1],1],pullC[inx[n]:inx[n+1],0])\n",
    "plt.plot(d[inxN[n]:inxN[n+1]],-f[inxN[n]:inxN[n+1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "8bc1d105-9a43-4506-a399-a7f6d6089fad",
   "metadata": {},
   "outputs": [],
   "source": [
    "E = np.zeros(len(inx))\n",
    "ksi = np.zeros(len(inx))\n",
    "dmax = np.zeros(len(inx))\n",
    "\n",
    "for i in range(1,len(inx)):\n",
    "    E[i] = 0.0\n",
    "    for j in range(inx[i-1],inx[i]):\n",
    "        E[i] = E[i] + 2*0.5*(pullC[j-1,0]+pullC[j,0])*(pullC[j,1]-pullC[j-1,1])\n",
    "    ksi[i] = E[i]/(2*np.pi*max(pullC[inx[i-1]:inx[i],0])*max(pullC[inx[i-1]:inx[i],1]))\n",
    "    dmax[i] = max(pullC[inx[i-1]:inx[i],1])\n",
    "    \n",
    "Eabs = np.zeros(len(E))\n",
    "\n",
    "for i in range(1,len(Eabs)):\n",
    "    Eabs[i] = Eabs[i-1]+E[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "cd497325-17df-4730-901e-96cd8a5a3d3f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "EN = np.zeros(len(inxN))\n",
    "ksiN = np.zeros(len(inxN))\n",
    "dmaxN = np.zeros(len(inxN))\n",
    "\n",
    "for i in range(1,len(inxN)):\n",
    "    EN[i] = 0.0\n",
    "    for j in range(inxN[i-1],inxN[i]):\n",
    "        EN[i] = EN[i] + 2*0.5*(-f[j-1]-f[j])*(d[j]-d[j-1])\n",
    "    ksiN[i] = EN[i]/(2*np.pi*max(-f[inxN[i-1]:inxN[i]])*max(d[inxN[i-1]:inxN[i]]))\n",
    "    dmaxN[i] = max(d[inxN[i-1]:inxN[i]])\n",
    "    \n",
    "EabsN = np.zeros(len(EN))\n",
    "\n",
    "for i in range(1,len(EabsN)):\n",
    "    EabsN[i] = EabsN[i-1]+EN[i] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "a67df84f-72bb-46b9-af8f-e6560ed1f6e7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.02768420112647071"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RE = np.zeros((len(Eabs[10:])))\n",
    "\n",
    "for i in range(10,len(Eabs)):\n",
    "    RE[i-10] = abs(Eabs[i]-EabsN[i])/Eabs[i]\n",
    "   \n",
    "MRE = np.mean(RE)\n",
    "MRE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "4738695a-a451-4b2c-9bc3-b4f4f90cc80a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9981185872922234"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(EabsN[10:],Eabs[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "5a16e17b-3184-421f-b4ff-4e95bc52b3d7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.12204388018011589"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "REk = np.zeros((len(ksi[10:])))\n",
    "\n",
    "for i in range(10,len(ksi)):\n",
    "    REk[i-10] = abs(ksi[i]-ksiN[i])/ksi[i]\n",
    "    \n",
    "MREk = np.mean(REk)\n",
    "MREk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "159cad2e-1d98-4620-a0b1-03b556cdd3b4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.919100218165847"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(ksiN[10:],ksi[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "054a8fcb-e882-4d83-83a2-c07ab0efd145",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x263d8c2f810>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA/gAAAF/CAYAAAD98WLeAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8pXeV/AAAACXBIWXMAAA9hAAAPYQGoP6dpAACv50lEQVR4nOzdd1iT1/s/8HfYggSZAqLgxDrAWsXiHqg4cFKrtlr3ts6q2H7c1lHrbKu17lmt2tbWDq2CWhdqhwulKsiSJchUQsL5/cGP52skIIRgGO/XdeVqc87J89wJMSd3znnOkQkhBIiIiIiIiIioXDPQdwBEREREREREVHJM8ImIiIiIiIgqACb4RERERERERBUAE3wiIiIiIiKiCoAJPhEREREREVEFwASfiIiIiIiIqAJggk9ERERERERUATDBJyIiIiIiIqoAmOATERERERERVQBM8ImIiIiIiIgqACN9B0BEREQVU0ZGBubMmQNra2ukp6dj1apVMDU1VWuTkpKCMWPG4Pfff0fdunWxefNmvP3221L98ePHcfr0aWRlZcHf3x8+Pj5FqiMiIqqMZEIIoe8giIiIqOIZPnw4+vfvj/79+2PPnj34559/sHbtWrU28+fPR9OmTdGgQQMsXrwYV65cwcOHD2FhYYG7d+9i+PDhuHLlCoQQaNGiBX766SfUqFGj0DoiIqLKilP0iYiISOdiYmLw3XffoUePHgCAHj16YMuWLUhLS1Nr5+PjgyFDhuCtt97Cvn37kJycjDt37gAA1q9fD19fX8hkMhgYGMDb2xubN29+ZR0REVFlxSn6L8nJyUFMTAwsLS0hk8n0HQ4RERGEEEhLS4OzszMMDMrHb/NBQUGws7ODmZkZAMDe3h4mJiYIDg5Gly5dpHadO3eW/l8ul0Mul8PFxQUAcObMGcydO1eqr1+/Po4ePfrKOk2ysrKQlZUl3c/JyUFSUhJsbW3Z3xMRkd7pqq9ngv+SmJgY1KxZU99hEBER5RMZGSklv2VddHQ0bGxs1MosLS0RExNT4GNCQ0PRsWNHODk5aTzGi48vrE6TFStWYPHixVo9FyIiotelpH09E/yXWFpaAsh9YeVyuZ6jISIiAlJTU1GzZk2pjyoPZDKZNHqfR6FQwNjYuMDHfPnll/jss88KPMaLjy+sTpOAgADMnDlTup+SkoJatWqxvyciojJBV309E/yX5E3Ty5smSEREVFaUp6nkzs7OSElJUStLT0+Hs7Ozxva///47OnfujNq1axd4jLypi6+q08TU1DTfCv4A+3siIipbStrXl48L+YiIiKhc6dixI6KioqBQKABAmj7v5eWVr+3t27cRERGBvn37qpV36dIFoaGh0v379++jU6dOr6wjIiKqrJjgExERkc45OzvD19cXZ8+eBQCcPHkSkyZNgpmZGdasWYN79+4BAB48eIBvvvkGXbt2RXh4OP79919pNfwJEybgjz/+AAAolUoEBwdj7Nixr6wjIiKqrGRCCKHvIMqS1NRUWFlZISUlhVP2iIioTCivfVNiYiLmzZsHNzc3JCUlYeXKlTAxMcFbb72FgIAAtGnTBl5eXoiKilJ73Lfffot3330XALBz507cvn0bCoUC/fv3VxulL6zuVcrra0pERBWTrvolJvgvqWwdvkqlQnZ2tr7DICKq1AwNDWFkZFTgdXeVrW96HSrTayqEgFKphEql0ncoRESVmrGxMQwNDTXW6apf4iJ7lVh6ejqioqLA33iIiPTP3NwcTk5OMDEx0XcoVIEoFAo8fvwYmZmZ+g6FiKjSk8lkcHFxQdWqVUvtHEzwKymVSoWoqCiYm5vD3t6+XK3MTERUkQghoFAokJCQgLCwMNSvXx8GBlwih0ouJycHYWFhMDQ0hLOzM0xMTNjfExHpiRACCQkJiIqKQv369QscyS8pJviVVHZ2NoQQsLe3R5UqVfQdDhFRpValShUYGxvj0aNHUCgU+faPJ9KGQqFATk4OatasCXNzc32HQ0RU6dnb2yM8PBzZ2dmlluBziKCS4y/5RERlA0ftqbTwvUVEVDa8jtyLn/hEREREREREFQATfCIiIiIiIqIKgAk+VSpKpRKfffYZhg0bhjZt2mDx4sWYPHmyTo797NkzfPbZZ2jZsqVOjve6/PTTT2jVqhWCgoL0HUqxxMTEYNKkSRg/fnyh7f78809069YNu3fvLrRdcnIyQkNDdRZfdnY2Nm7ciFq1agEA7t27h6FDh2Lp0qU6O0dZFx4ejrFjx77yb1QZXLt2Td8hEGlNpVIhKCgIBw8eRFBQUJnfbo99fX7s63Oxr9c99vX/p6z09UzwqdwICgpCs2bNYGtri/Hjx+Odd95B69atcf78+SIfY926dahZsyb27t0LGxsbWFtbY8iQITqJT6VSwdTUFAkJCfnqwsPDMXXqVMhkMgwdOhTz58/HiBEj0KtXr1L/MDh79iyaNWsGa2trvP/+++jSpQvef/99Kc7WrVvj7t27pXLuO3fuoG/fvpDJZPjll180tlm+fDlkMhmWL1+u8bUriLGxMZ4+fYqsrKxC23l6eiIyMrLQ7SAjIiKwY8cO1K1bFzt37oS5uTm8vLw0ts3MzIS1tTU8PT1x9uzZAo9paGiIJk2aIDIyEgAgl8sRHR1dJr4Y37p1C71798bMmTMxbNgwZGdnF9j27t276NGjB2QyGcaPH48nT55IddevX0fdunUxcOBAtfI8Dg4OAPDKv5G+5OTk4ODBg2jYsGG+uiNHjmDixIkICAjAvHnz1P5uhdXlSUpKgrOzM8LDwwHkvhaLFy8utedCVFqOHTsGNzc3dOrUCUOHDkWnTp3g5uaGY8eOlcr52Ndrh309+/qXsa/PVSn7ekFqUlJSBACRkpKi71BK1bNnz8SdO3fEs2fP9B1KsXz88ceiTZs20v25c+eKqlWrivj4+CI9vnXr1uL06dOlFZ44ffq0cHV11VgXGhoqAIj//vtPKjtw4ICwtLQUsbGxpRaTEOqvW3Z2tmjVqpXo3LmzVF+rVi0RGBj4yuNs3Lix2Oc+efKkMDMzE926dctXp1QqRYMGDQQAkZ2dXexj/+9//xMffPDBK9u1b99e7Ny5U2OdUqkU/fv3FwqFQirr0qWLACAuXryYr/2WLVtElSpVxMcff/zK8z58+FC8+DE7bNgwsXDhwlc+7mVxcXHi22+/LfbjCtKxY0dx8OBBIYQQH374obh+/forz29iYiJ27NiRr+7dd98t9HNkwYIFRfob/fvvvyIoKOiV7XQpPDxcfPPNN+LlrjAkJEQ0bdpU5OTkCCGEmD59uli3bt0r6140c+ZMAUCEhYVJZYcPHy7031Bhn8uVpW96nSrDa1rSvv7o0aNCJpMJAGo3mUwmZDKZOHr0qI4jzsW+Xjvs69nXv4h9fa7K2NdzBJ8A5O7LmJGRoZebKOTX1pcZGanv7DhkyBCkp6fj3LlzRXp8bGxsqa4mXNixjY2N85X16dMHaWlpxRqZ0MaLr5uRkRH8/Pxw5swZJCcnAyjaip63bt3CJ598UuxzGxsbY+jQoTh16lS+0YMffvgBbdu2zRdjURX1b1nY89u1axcaN26s9vdxcXFB586dsXHjxnztT58+jTfffLNI8b58Xm3eewqFAh988AGePXtW7McWJCUlRYrNyckJTZo0KbS9g4MDBgwYgD179qiVP378GHXq1Cl0S7eivLdSU1PxwQcfFOuzQBdcXV3RuXPnfOX79u2Du7u7FLufnx8+++yzV9blOXToELp3757vuO+88w62b9+OtLQ0XT8VIp1TqVSYNm2axn+XeWXTp08vlZFK9vXaYV/Pvv5F7OtzVca+vswk+L/++iu8vLykKQ4vUigU8PT0VLtuKCMjA5MnT8Ynn3yC6dOnq00LKayONMvMzETVqlX1csvMzNQ67qdPnwIAbG1tpbLY2Fj873//w9SpU9G+fXs8ePAAmZmZmD17NhITE7F582asXLkS9+7dwwcffCBdM7R9+3a4u7sjMDAQ7du3h729PS5evCgdd+/evVi6dCnat2+PFStWSOV//fUXRo8ejQULFqiVF8UXX3wBAKhfvz4AIDo6GiNGjMDy5cvRtm1bnDp1CkDuF63FixdjzZo1aNq0KbZs2QIASEtLw+LFizF79my8/fbbRZ4CaG5uDgMDA1SpUiVf3e3btzFy5EgsXboUb7/9Nv79919kZWVh586dSE1Nxbx583D+/HkIIbBp0yYsXrwY3t7e2LVrV4Hna9euHTw8PLBp0ya18qNHj8Lf3z9f+y1btuCTTz7BsGHDMGLECLX3yL59+/Dhhx9i+vTp+Pnnn6Xy4sTz8rk6dOiQr3zq1Kk4evQoYmJipLKzZ8+iffv2+Tqyr776CrNnz8bo0aMxePDgQr/w5uTkYObMmbC3t8fHH38slUdFReHDDz/EJ598gs6dO+O3334DkHvd5O3bt/Hdd99h/fr1OHToEFq2bInt27ejTp06+PTTTwt83xSkd+/e+PHHH5GZmYmZM2fi119/lablxcfHa3zMxIkTERQUhHv37klle/bswfDhwwHkfoYvWbIEvr6++PDDD5GTk6PxOJraHT58GA8fPsTWrVuxe/fuAt/vWVlZ+Pjjj7FgwQL06tULq1evlo575swZrF69GlOmTEGNGjUKff4v0vRFLC0tDdHR0dL9mjVrIiYmBsnJyYXWAbnXi969exfdunXTeD4PDw8cOHCgyPER6cv58+cRFRVVYL0QApGRkaWetALs69nXs69nX5+LfX0RlWj8X0fi4uLE8ePH801xyLN06VIhl8vVphUNGzZMHDt2TAghxO7du8WMGTOKVPcqlWHKnhD5p4ekp6fnm4L3um7p6elFjnvhwoXS9LMnT56Itm3bis6dO0tTaIQQ4p133pH+fh9++KHw8fGR6lxdXaX3kUKhEBMmTJCmFCUmJgoAYvXq1UKhUIgpU6aId999VwghxJ9//imWLl0qhBAiPj5eGBkZifPnz4vMzEzh7u4unjx5IoQQYtWqVQVO2wsLCxMAxNChQ8W0adPEW2+9JczMzMSmTZukNjNnzhRLliwRQgjx2Wefid69ewshhPj555/FqlWrhBBCPHr0SGzdulUIIcS4ceNEeHi4EEKItWvXinr16r3ydcvIyBBvvvmmeO+99zS+LgMGDBB79uwRQggxefJkMWXKFLX48+zdu1fs3btXCCHEX3/9JYyNjTX++w0MDBQ7d+4U27ZtE1WrVhVPnz4VQghx69YtsWjRInHq1Cm14544cUIMHTpUut+zZ08xceJEIYQQ169fF+3atZPqevToIf39CounQ4cOGqftPX36VMhkMvHo0SO18g8++EAolUrh6uoqPvnkE6l81KhRIjU1VbRp00aafpeSkiKMjY1FTk6OUKlUQi6Xi2vXrml8zT744APRrVs3ERsbKy5fviyMjY2lf4NeXl4iNDRUCCFEcHCwMDMzk+J6Mf6UlBRhZWUlZsyYIa5cuSLOnz9f4PtGkxMnToghQ4YIY2NjsXr1aiFE7tTFVq1aqf070qRRo0Zqn6cjR44UQuROT8z7G2VmZorq1auLffv2CSFy33t5f6PC2r34Hizo/f7RRx9J/5+RkSHs7e3FoUOHhBBCdOrUSZr6WZQplXle/hvlnV8mk0nTNg8ePCgAiMTExELrhBBixowZ0t9UU5+2aNEiMWDAAI2xcIr+61UZXtOSTNE/cOBAkfrwAwcO6Dxu9vXs69nXs68Xgn29too/T6YUODg4oFevXhrrLly4gBo1asDa2loqi4mJwXfffYetW7cCAHr06IEJEyZg8eLFSEtLK7DO0tIy3/GzsrLURvhTU1N1+dTKDXNzc6Snp+vt3MXx6NEjzJgxA9u2bcOsWbMwf/586VfWmJgYXL16FTt27ACQu/iJXC7XeBxjY2M4ODjg0aNHAAAbGxsAuVNrjI2N4enpKf36tnv3bhgaGmL9+vUAct9XCQkJ2LdvH1xdXaXHenl54auvvio0/sWLF6NevXpQKpVYtGgRdu/ejT59+qBWrVqYOHEiLCwsEBUVhZs3b0p/E7lcjpUrV8Le3h7Dhw9Hv379kJOTgx9++AFvvPEGACAxMRF169ZFeno6qlatmu+8jx8/xoYNGxAaGop3330XM2bM0BjfwoUL4erqitDQUDx48ACOjo4a2+3ZswctW7bE+vXroVKp0LlzZ8TExMDNzU1j+6FDh2LOnDnYsWMHZsyYga1bt2LevHm4ffu2WrvNmzerTXkaPXo0hg4dik2bNuHzzz9Hjx49pLoXZ/0UNx4AuH//PoQQaqNCeQwNDTFp0iR8/vnn+OSTT5CYmAgrK6t8nyNyuRynT5+GEAK//PILDA0NC/235O3tjerVq8PW1hbZ2dl48uQJYmNj8eDBA2l0p2XLlqhfvz727NmTb6qkXC6HlZUV/Pz8pMWBHB0dNb5vXvbLL79gzZo1OHXqFExMTLBq1SqMGTMGFy9exMqVK185xW78+PFYvHgxPv30U1y7dk2acnnw4EE8efJE+vfRoUMHjVPTitpO0/tdpVJh69at+PPPPwHkfm4MHjwYW7duxaBBgyCTyTBw4ECsW7cO06ZNK/R5vEqvXr3w1VdfYf78+WjZsiWio6Nha2sLW1vbQuu2bduGYcOGFTqN0d7eHvfv3y9RfESvg5OTk07bFRf7evb1edjXs69nX188ZSLBBzRPnUhPT8fRo0exdu1atRUJg4KCYGdnJ72w9vb2MDExQXBwMOLi4gqs69KlS75zrFixomysdqhnMpkMFhYW+g6jSGxtbbFu3To8evQIv/zyi9rUp8jISBgbG2P69OlFOtaLH3Ivf+AZGRlJU48iIyMxbNgwDB06FACk40+dOlVjB1sURkZGWLZsGfbu3Ytp06bh+++/h5OTE5YtWwZ3d3e0bt1a+kLSrl07LF++HNOnT8fnn3+O7777Djk5OUhJScG0adOKdO2Tk5NTkT4MnZycsGTJEnh7e6NFixbSyrAvi4yMxKJFi9C6dWsAwKxZswo9bpUqVTBmzBh8+eWXGDFiBJ49ewYnJ6d8nf5///2ndq1UnTp1kJWVhcTERNy4cQNvv/22TuIB/m/F14KusRszZgwWLVqEb7/9Fg8ePMC4ceM0tnv+/Dnmzp2LkSNHQi6XF+n6srxzKpVK/Pfff/lWt61Tp47a9LAXyWQytb95Qe+bl82YMQPLli2DoaEhFi9ejMOHD+Ojjz5CrVq1sGDBglfG/MEHHyAgIACHDx/GtWvX8OmnnwLIfe09PT2lfxcF/fsrajtN73eVSoWUlBS116lOnTrSFMVdu3ZhxIgRaNiwIebNm4clS5a88vkUZsKECZgwYQIAoFWrVtK//cLqVq9enW/ao4eHB7Zs2SK1MTU1rbQ/JFP50q5dO7i4uCA6OlrjZ5pMJoOLiwvatWtXKudnX8++XhfxAOzr2dcXrKL29WXmGnxNVq1ahXnz5uUrj46Oln5FzWNpaYmYmJhC6zQJCAhASkqKdCvoA47Knu3btyM+Ph7z58+XyhwdHXH//n3cuHFDKgsODi7xuRwdHfNtCXT16lXI5XKEhISU6Ng2NjbSr3wTJ05E/fr1MWLECJiamkptwsPDMXHiRISGhqJmzZoYP348bG1tkZOTgxMnTkjtbty4gefPn5conoEDB6JXr17w9/eHoaFhge1efk2eP3+u9rprMmnSJISHh2PIkCEYMWKExja1atVSW6An71d3e3v7Ql9vbeLJ+zW/oHUgbGxsMHToUKxfvx7h4eEat1i5d+8eJk+ejFWrVqFRo0aFnk8TIQRq1aqF1NRUPH78WK1c0/k0Keh986LExESEhoZKXxZcXV3x8ccfY/v27WrnybvWVRMrKysMHjwY69evh0wmk77wOjo64vvvv1drq+nfXVHbaXq/29vbo0qVKvneG3mxq1QqnD59Gnv37sWaNWtw5syZAp9Hcfz6668ICwtT+5wpqO7MmTP4559/pBuQO5LSp08f6THPnz9Xm5FGVFYZGhpiw4YNAPInxXn3169fX2g/oQvs69nXlzQe9vXs61+lovX1ZTbB//XXX9GqVStpb8UXyWSyfNMiFAoFjI2NC63TxNTUFHK5XO1GZZdSqZQWNbG2tsbBgwexceNGHD9+HEDuB5m3tzf69euHo0eP4ocffsDJkyfVHv/ir4JCCOkX2Lxf8F/8RTbv/4cMGYKjR49i2rRpCAoKwqxZs2Bvb48BAwbg7t272L17NwAgLCwMT58+1diJKJXKfGVXrlzBzZs30a9fPwDA33//jcTERGRmZuLChQt49uwZwsLCcPbsWVy7dg3Vq1fH6tWrIYSAkZER/P39MXLkSOzevRu//fYb9u7dq3HK0IuvmyYvvg55MSQnJ+P69etSDCYmJgBy9/y8e/cuhgwZgvXr12PJkiUICgrCzJkzNU6RUyqV0nN3dXWFn58f4uPjpV/f8+LKazNhwgQcPXoUKSkpAHI7hfHjx8PAwAADBw7E3r17cevWLen1TkhIgFKpLDSeF5/fi+rWrQtLS0u1zhaA2henqVOn4p9//lFbIEilUknx3rp1C+np6UhLS0NwcLD0Y+GLo14v//fl197b2xuenp7SdFOVSoWHDx9KvwSbmJhIr/uLMeQp6H3zImtra9jb2+Pzzz9Hamoq0tLS8PjxYzRr1gzjxo3D/v37cenSJRw9ejRfjC+aMGEC/v77bwwaNEgqGzRoEP7++28MHToUZ86cwdKlS6X4XnztC2v34nPU9H43NDTEmDFjpNcIyH1vTJo0CQCwZs0aAMC7776LHj16QAiBxMREjBo1Kt9r8fLrX9DfJjo6GnPmzMGxY8fyTV/VVOfi4gI3Nzfpllf24sjf48eP4eHhUehrrA/16tVDv3798PHHH+PAgQP4999/oVAo9B0W6dmAAQNw5MiRfItZubi44MiRIxgwYECpnJd9Pft69vX/F0Me9vXs64usRFfw6xheWKSgS5cuwsrKSrrJZDJhYWEhVqxYIfbv3y/c3d3VHmtubi7Onj1baF1RVIZFd4Qo+d64+nDmzBnh6ekpzMzMxL59+0RmZqYQQoiVK1cKMzMzsWDBAhEVFSUePXokunTpIiwtLYW/v79ISUkRSqVSfPPNN8LAwEC8//774t9//xXh4eGibdu2omHDhuLWrVvSHplLly4V4eHhYsiQIcLOzk5cvnxZCCHEhg0bhJOTk6hVq5b4/vvvpbi2bt0qnJ2dRadOncS8efNE8+bNxeHDh9ViDwsLE1OnThUAhI+Pj5g6daoYMWKEaNy4sZg/f760YMjWrVuFXC4Xffr0EUePHhUODg7ip59+Ejt37hQODg5i4cKFYvbs2eKvv/4SQuQuPjRw4EAhl8tFly5dRExMTL7XLTAwUHh6eoqqVauKAwcOiKysLLX63377TRgZGYnx48eLpKQksWDBAiGXy8Xw4cPFtm3bhIuLi7hy5YrIyckRXbt2FU2bNhWhoaFCpVKJgIAAYWdnJxo2bCj+/PPPfOcOCQkRQ4YMEV27dhVXr14VQuTuH7x9+3YhhBB37twRgwcPFgDEypUrpT2OV65cKbp06SI++eQTMX/+fGnfWoVCISZPnizs7e3FoEGDxPDhw0WfPn3E1atXC4wnODhY2NjYiP79+4vo6Oh8Mfr7+4sjR44IIXIXoDlw4ICoVq2a2LZtm0hNTRVC5C7cqVKpRHZ2tti/f7+wtLQUb775pjh79qxISUkRzZs3Fy4uLmLHjh3Cz89P9OzZU6Snp4tFixYJAOKrr74Sf//9t2jQoIHo0KGDuH//vti+fbv0flMqleL+/fuiU6dOYsqUKeLDDz9Uez23bdsm7OzsxDfffCOOHDkiTExMxODBg8Xjx48Lfd9oei80bNhQyOVy4ePjI/766y+Rmpoq3n//fWFubi58fHyk51yYFxdGynPo0CHh5uYmqlevLr766ishRO6iOW3atBH169cX//zzT4HthMhdkMbZ2Vn8+OOPBb7fMzIyxLBhw8Q777wjAgICpEV4hMhduKdPnz7is88+EwsWLBBCCHHlyhXh4OAgZs2apfF5xMfHi4ULFwoA4ssvv5QW/Hzw4IHYsWOHmDlzprh//77aYwqre9mLfVqefv36SYvAvkyfi+ytXbtW1KxZU7z33nvC19dXVK1aVRgZGQl3d3cxYMAA8b///U+n+zOXBZWhv9dVX69UKkVgYKA4cOCACAwMFEqlUkcR5se+nn09+3r29ezrS9Yvyf5/YGWCTCZDWFgY3NzcEBsbq/bLWtu2bbFmzRr4+voiMzMTDRo0QFJSEkxMTBATE4P69evjyZMnSEpKKrCusMUQ8qSmpsLKygopKSkVejT/+fPnCAsLQ+3atYv0uhBVVMHBwdixY4e0PQtVLNnZ2fjiiy8KXGjqdVIoFOjQoQP+/PNPjVNiC/tcLu2+qVatWrhy5Yq0YNqTJ0/wwQcfoE2bNrC2tsbdu3cRGhqKX375Refn1pfK0N+zryfKxb6+YmNfr67MLLInXpo68fIUCSMjIzg6OqJatWqoVq0afH19cfbsWXTt2hUnT57EpEmTYGZmBmdn5wLriIhe5uXlhe+//x73799HvXr19B0O6VDens7Dhg3TdygAchcHWrVqValfs6wNpVKpdimbra0ttm/fju7du0vXGBIRlVfs6ysu9vX5lYlr8NPT06Vf1Hbv3o3ExMRXPmbLli04dOgQli1bhhs3bmD58uVFqiMietmyZctw6tQpxMbG6jsU0qHU1FSMGjUKdnZ2+g4FFy9eRM2aNdG+fXt9h6LRiBEjMGLECCQlJUllOTk5ePjwoR6jIiLSHfb1FRP7+vzK1BT9sqAyTNkDOG2PSJOC9hUmKqm0tLR8+yq/TJ9T9FUqFebNm4dt27ahRYsWsLe3x7lz59CtWze1xY4qksrQ37OvJ8qPfT2VlrLS15eZKfpERPrGDp9Ky6s6fH0zNDTEZ599htmzZ+OPP/5AYmIihg0bBl9fX32HRkSkU+zrqbSUlb6eCT4REVElp1Qq8c033+D69euwsrLC559/ru+QiIiISAtl4hp8IiIi0p+xY8fi2LFj8Pb2xrZt2wAAv//+u7TnMBEREZUPTPCJiIgquePHj+PHH3/E6NGjYWCQ+9WgRYsW+Prrr/UcGRERERUHE3wiIqJKzs7ODqmpqWpltra2iIuL01NEREREpA0m+ERERJXc+PHjMWTIEMTGxkImkwEA7t69i2rVquk3MCIiIioWJvhUofTu3Rvffvutzo6XnZ2NjRs3olatWlLZhQsX0KxZM7V2sbGxWLJkCTp27IgRI0agZ8+exYrj6dOn+Pjjj+Hn56er0AuMtbjCwsLg5uaGzMzMQtvt3r0bjRo1Qnh4eInOVxoyMzPh5uaGsLCwQtv99NNPaNWqFYKCgl5PYERlxIwZM9CmTRs0aNAAGRkZGD16NHx8fDBt2jR9h0aUD/t6dezrc7GvJ8rFBJ/KlZCQEAwYMABjxoxBs2bNIJPJsGvXLql+0qRJaN26tc7OZ2hoiCZNmiAyMlIqe+ONNzB//ny1dqNHj8a4ceNw5MgRBAcHY/DgwcWKQwgBpVKJtLQ0ncVeUKzF5ezsjIULF8Lc3LzQdq1bt0ZISEiJzlVazM3NsXDhQjg7OxfarnXr1rh79+5rioqo7JDJZFi2bBlCQ0Oxfft2eHp64ttvv8WsWbNKdNyMjAxMnjwZn3zyCaZPn46srCyN7RITEzFnzhxMnjxZrTwoKAgymUzt1rJlS7Xj29jYSHXff/99ieIlzXJychAeHo6bN28iPDwcOTk5pXo+9vXFw74+F/t6olzcJo/KlX79+uHw4cPw9PSEEAJjxoxRq+/Zs6dOz2dgYIDatWurldnY2GDQoEHS/WfPnuH333+Hg4MDDAwMcOfOnWKfx9raGu7u7rhy5UqJY37Ry7Fqw9TUFCNHjnxlu3r16pXoPEXx008/oWnTpnBzcyv2Y4vyHGxtbTklmSqsM2fOoH379jAyKrjrd3R0xPvvv6+zc06cOBH9+/dH//79sWfPHgQEBGDt2rX52kVERODevXuwtrbOF/Phw4dRs2ZNAEBgYCCUSqVUv2PHDnz99dfS4zp16qSz2ClXSEgIfvvtN7U1GuRyOXx9ffHGG2+UyjnZ1xcP+/r/w76eiCP4VI4kJSUhNDQUFhYWAHJHnJYsWSJdL1paXnX8xMREqFQqaeVpbZX08fpW2n+H6OjofKN7paG0nweRvnTt2lXniUVhYmJi8N1336FHjx4AgB49emDLli0aRy+bN28OT0/PfOVjxozBO++8g7fffhtvv/02Hj58iP79+wMAVCoVfv75Z3h4eMDHxwc+Pj4wNDQsMJ6srCykpqaq3ahwISEhOHz4cL7XKjU1FYcPHy6VkVz29WUb+3qisq98f8qQzgghoFAo9HITQhQpRhsbG7i7u8PX1xeXL18GANSoUQPe3t4AgFOnTqFz587YvXu3dJ3bW2+9hbNnz6JZs2aoXbs27t69iyVLlsDJyQndunWDUqnEtWvXMHDgQCxevBjjxo2DpaUlBg0ahGfPnuWL4cXjAsDNmzexdOlSAMDs2bPx3XffqcWR99pu2rQJixcvhre3t9o0w5MnT2LcuHEICAiQ9p5+2dWrV+Hu7o5FixYBAI4dOwZTU1MEBQXh/v37GD16NMaPH49Vq1bBwcEBgwcP1hgrAHz11VeYPXs2Ro8ejcGDB0OlUuHevXto3749ZDIZ/vrrLxw5cgQeHh64ceMGsrKysGrVKri4uEjHOHr0KCZNmoRZs2aha9euRZpquHnzZri7u+P8+fPo1asXrK2t8d133+H48eNo2LAh6tWrJ13PFx0djREjRmD58uVo27YtTp06BQA4cOAAIiMjsWrVKhw/fhwAsHfvXixduhTt27fHihUrIITA5s2b0bBhQxw6dAjOzs7Yu3evdP68c5w7dw5jxozB//73P7Rp0wZRUVGvfA5E5Z0QAikpKWr3d+7ciYyMjHxts7KycO3aNSgUCq3PFxQUBDs7O5iZmQEA7O3tYWJiguDgYI3tNSU+L14TnZOTg5CQEDRp0gRA7ufnhQsX0LBhQ3Tv3h3x8fGFxrNixQpYWVlJt7xZAaRZTk4Ofvvtt0Lb/Pbbbzqfrs++fhEA9vXs64lKQJCalJQUAUCkpKToO5RS9ezZM3Hnzh3x7NkzIYQQWVlZYtGiRXq5ZWVlFTnu27dvCzc3NyGTycTIkSNFXFycVJeVlSXeeOMNsXPnTqFUKsWBAweEra2tCAoKEjk5OaJ79+6iY8eO4t69eyIjI0M4OTmJ33//XahUKtG7d2/RqVMn8fDhQ/Hvv/8KCwsL8emnnwohhAgLCxN5/1Tyjuvq6iqd98X6l+MQQoi9e/eKvXv3CiGE+Ouvv4SxsbEICwsT0dHRonHjxkKhUAghhJg4caLo0KGDxuf9wQcfiIULF0r3a9WqJQIDA4VSqRTTpk0Tb775prh586aIjY0VRkZGIiQkJF+sKSkpwtjYWOTk5AiVSiXkcrm4du2aEEKIhIQEYW9vL3bt2iUWLVokHjx4IIQQIicnR/z5559qz8/GxkZEREQIIYRo3LixOHLkiFQHQISFheWLPyIiQgAQW7ZsEdnZ2eLTTz8Vrq6u4tSpU0IIIfr27SsCAgKEEELMnDlTLFmyRAghxGeffSZ69+6t8fh//vmnWLp0qRBCiPj4eGFkZCTOnz8vHj16JACI9evXi5MnT4obN25I5897bPPmzcW5c+eEEEL06tVLrFmzRjqHq6urCAwM1Ph3ICpNL38uv0gXfZNMJhNffPGFdD8jI0MYGBiIixcvqrXLzs4WTZo0EQYGBsLZ2Vncvn1bq/OtXr1aeHh4qJW5uLiIPXv2aGy/cOFC8cEHHxR4vD///FPMnj1brSwnJ0ecPXtWNG7cWHh5eQmVSlXg458/fy5SUlKkW2RkZIXv7wt7T71KWFhYkfpwTZ/5JcW+Phf7evb1VPGUdl8vhBAcwadypVGjRrh58yZmzpyJvXv3onHjxrhx4wYAwMTEBPb29gByF8xxdHRE1apV0aFDB2lhJldXVzRo0ADm5uaoV68eYmNjYWBgAFtbW7Rv3x61a9eGh4cHhg4dihMnTuQ7f95xC/NiHACwZ88ehISEYP369Thz5gw6d+6MmJgYfPnll2jTpg2MjY0BAF5eXkV+HfKmlhkaGsLKygoeHh5o0qQJqlevjurVqyM+Pj5frHK5HKdPn4YQAr/88gsMDQ2Rnp4OIHcP7FWrVmHOnDlwdHREnTp1pPO8vFjNDz/8gJo1ayIoKAjPnj2TjlGYvFGB7t27w8jISHquPj4+AAAPDw/ExsYCyL1md8yYMYiKisLNmzcLPP7u3bsRHR2N9evXY//+/ejRowcSEhKkUbk+ffqga9euaNq0qdqoBJA7utGqVStcv34dcXFxRXoORBXBuXPnpP+PjY2FECLfXvd3797F7du3cfDgQfj5+Wm9kr5MJpNG7/MoFArpM6+4vv/+e2l6/ovnaN++PQIDA3H//n1pxFcTU1NTyOVytRsVrKgLwel6wTiAfX0e9vXs64m0wUX2CABgbGyMgIAAvZ27KFQqFSIjI+Hm5oY1a9Zg+PDh6NmzJ4YNG4Z///0XgPo1VS9fX/XytZkGBgYFTi1s1KgRLl68qLGuKNdtvdgmMjISixYtklbazVuVesWKFWjQoMErj1WccwGAkZGR9Lxernv+/Dnmzp2LkSNHQi6Xq10e8d5772H27Nn5tr55+Rjm5uaYPn06hgwZgpo1axbpEovi/C2cnJywbNkyuLu7o3Xr1nj06JHGY0ZGRmLYsGEYOnQoAGD69OkFnvPl89vZ2eGjjz5Cr1690Lhx4yJfJkJU3v32228ICQnBG2+8IX3GXb16Ff369ZPaREdHw8TEBIMGDULHjh3x4YcfanUuZ2dntUsCACA9Pf2VK1wX5MqVK1i9erXGOnt7ewwaNEhtFXQqGUtLS522Kyr29a8+F8C+XtM52dcT5eIIPgHI/VA0MTHRy62oC51kZ2fju+++k+57eHhg1apV+O+//3T+eigUCp10yEDuqtTHjh2T7j9//hw3btyAXC4v8gJFBgYGUKlUJYrj3r17mDx5MlatWoVGjRrlq9+0aRN27NiBjRs3FhjX06dP0bt3byxfvhytWrUqUTwFmThxIurXr48RI0bA1NS0wHYvv65AbqLyKkIIdOnSBdOmTUO3bt1KHC9ReTJs2DC0b98es2bNwvz589G9e3fs3bsXz58/l9rcuXNHGpl0cHDQer/xjh07IioqSrqOPyYmBkDxRjDz3Lp1C40aNSp0gTIjI6MS7wVO/6dWrVqvnOUgl8vV1knQBfb17OtfxL6eqPiY4FO5smnTJkRHR0v3o6OjpRWagdwP9LxfaF/8/4K8WP/48WPp/4OCgjBp0iS1NgUdN2/LpuzsbI1xDBkyBOvXr8eSJUsQFBSEmTNnws3NDQMHDsTvv/+OM2fOAADCwsKQmJiodpw81atXx5UrV/D8+XN8//33SE1NRXx8PFQqFXJycvI9T02x3rp1C+np6UhLS0NwcDBSUlKQkpKC6Oho/PPPP6hSpQr69u2L8ePHY+LEiRqf94MHD5CcnIwnT57g3r17iIyMRGZmJsLDw/O1LyieV/0t/v77byQmJiIzMxMXLlzAs2fPEBYWBiB3tkdSUhLu3r2LIUOG4OjRo5g2bRqCgoIwa9YstemSL35JevH8SUlJePToERITExEdHY07d+6onaMo7xui8igkJATLli3D3Llz8csvv6BmzZrYsWMHnJyc4Ofnh2vXruHSpUvYuHGjTr7UOzs7w9fXF2fPngWQu9DYpEmTYGZmhjVr1uDevXtq7Qv7t/fDDz/km57/448/SgnKvXv3IJfL4e7uXuK4KZeBgQF8fX0LbePr61sqq8Kzr2dfz76eSHtM8KlciYyMROPGjfH+++9j1KhRuHXrFr755hsAQHBwMG7fvo1ffvkFjx49wqFDhxAbG4sTJ07g/v37OHPmDK5evYp//vkHQUFBuHPnDn766Sfp+tPbt2/j888/x4IFC+Dr6wsfHx+oVCrs2bMHALBlyxakp6fjyJEjiI2NxW+//YbExERs2rQJALB+/XpERUWpxREXF4cxY8Zgzpw52LRpEyZOnIj33nsPcrkcAwYMwMKFCzFkyBD4+fnhyZMnsLe3V7tGNs+UKVNw//59NG3aFHK5HG5ubvjnn38QFRWFM2fOIDg4GDdv3sTvv/+OuLg4HD16FKmpqWqxdu3aFU5OTmjSpAlu376Ndu3aYevWrUhOToa/vz9cXV0BAG5ubjh79iwmT56M9PR07N27FwCwc+dONGvWDB06dEDLli1x7Ngx9OjRA7t370bVqlWxc+dOALnXy704GghA+hvt379f2jorNjYWx48fR2hoKP744w9cuXIFN2/exIcffojly5djyJAh6NGjB8LDw3H79m0AuaOPgwYNQnJyMrp164YNGzbgu+++wwcffIB27drBzc0NX3zxBQBg48aN0tZOebHt27cPcrkcI0aMgK+vLz7//HP0798fP/74I1QqFX7//XfExMTg0KFDSE5O1sVblqjMcHd3R7Vq1TB79myEhITgwoULcHJywv79+xEWFoZWrVqhbdu2ePz4MT766COdnHPLli04dOgQli1bhhs3bmD58uUAgIMHD+LmzZtSu+vXryMwMBDBwcEaPwMDAwPRuXNntbLg4GC0atUKvXv3xs8//yytck6688Ybb2DQoEH5RvLlcjkGDRqEN954o1TOy76efT37eiLtyQR/vlKTmpoKKysrpKSkVOgFeJ4/f46wsDDUrl073yJIldGIESPg5uYmbU9DRPS6Ffa5XNp9k0KhwK+//oqoqCh06tRJ49TeiqYy9Pe66utzcnIQERGBtLQ0WFpaolatWuVyP3f29USkb6+jr+cie0TgVC0iqtxMTEzQt29ffYdBZZSBgQHc3Nz0HUaJsa8nosqg/P38SqRjly9fRnBwMM6cOYO7d+/qOxwiIiLSMfb1RFRZcASfKr233367yCvcEhERUfnDvp6IKguO4BMRERERERFVAEzwKzlei0ZEVDaUpc/jf//9F5GRkfoOg3SkLL23iIgqs9fxecwEv5IyNDQEkLtyMhER6V9mZiaA3D2g9emdd95Bz5498d1332HVqlV6jYVKJu+9lPfeIiIi/crLvfJysdLAa/ArKSMjI5ibmyMhIQHGxsblcrsbIqKKQAiBzMxMxMfHo1q1aqXa6RdFZGQkTExMMHPmTERHR+Onn36Cn5+fXmMi7RgaGqJatWqIj48HAJibm0Mmk+k5KiKiyiknJwcJCQkwNzeHkVHppeFM8CspmUwGJycnhIWF4dGjR/oOh4io0qtWrRocHR31HQbOnTsnTSGsUaMGqlWrpt+AqETy3lN5ST4REemPgYEBatWqVao/tjLBr8RMTExQv359TtMnItIzY2NjvYzcp6enY9OmTbh69SqMjY3RpUsXfPDBBzA1NZXaWFhYvPa4SHfyftB3cHBAdna2vsMhIqrUTExMSn3mNBP8Ss7AwABmZmb6DoOIiF6z+/fvo0OHDoiLi0ONGjXg6OiI1atXY+3atQgMDISTk5O+QyQdMjQ01PvlH0REVPp44TUREVElNG3aNAwYMABRUVF49OgRrly5gvv37+PAgQNYvHixvsMjIiIiLXAEn4iIqBIyNTXFpk2b8pU3b968VBf/ISIiotJTZkbwf/31V3h5eSE8PFwqO3bsGGrXrg1bW1tMmzYNSqVSqsvIyMDkyZPxySefYPr06cjKyipSHREREQH16tXTWJ6ZmYmrV6++5miIiIhIF8pEgh8fHw+lUqn2hSIiIgI//PADjhw5gg0bNmD79u1Yv369VD9x4kT4+Phg2bJlaN68OQICAopUR0RERLkL+3355ZeIi4vD8+fPERYWhm3btsHLywseHh76Do+IiIi0IBN5e+HoWU5ODgwNDREWFgY3NzecP38e3t7e0jTBuXPn4tatWzhx4gRiYmJQt25dJCcnw8zMDAkJCXB1dUVcXBzS0tIKrLO0tMx33qysLLUR/tTUVNSsWRMpKSmQy+Wv7fkTEREVJDU1FVZWVjrtmxQKBUaOHImDBw9K2/UIIdCjRw98++23GvvMiqQ0XlMiIiJt6apfKjMX2b28XUC7du3U7js7OyM1NRUAEBQUBDs7O2n1d3t7e5iYmCA4OBhxcXEF1nXp0iXfeVesWMHFhIiIqNIxMTHB/v37ERAQgMDAQACAl5cXWrVqpefIiIiISFtlJsF/latXr2LOnDkAgOjoaNjY2KjVW1paIiYmBrGxsQXWaRIQEICZM2dK9/NG8ImIiCqDJk2aoEmTJmplycnJsLa21lNEREREpK1ykeD/999/qF69unRNoEwmy7d3u0KhgLGxcaF1mpiamsLU1LR0AiciIiojYmJiYGVlBQsLCwC5a91oolKpsHHjRqxbt+51hkdEREQ6UOYTfKVSia1bt2LFihVSmbOzM1JSUtTapaenw9nZGTk5OQXWERERVVYeHh7o06cPduzYAQDo0KGDxiRfCAGZTMYEn4iIqBwq8wn+Z599ho8++ggmJiZSWceOHTFu3DgoFAqYmJhI0++9vLxQr169AuuIiIgqq99++w2Ojo7S/cmTJyM7OxteXl5q+94rlUps27ZNHyESERFRCZWZBD9vMf8XF/VftmwZvLy8kJmZiYcPHyIoKAjt27dHvXr14Ovri7Nnz6Jr1644efIkJk2aBDMzMzg7OxdYR0REVFm1aNFC7f6YMWOQnZ0Ne3v7fG3d3d1fV1hERESkQ2UiwU9PT8fevXsBALt378aUKVOwefNmLFiwQK1dw4YNMWrUKADAli1bMG/ePFy5cgVJSUlYuXKl1K6wOiIiIgIuXryInj175iv/448/pDVviIiIqHyRiReHzIn74hIRUZlTGn3TpEmT8NVXX+UrT0lJga+vLy5duqST85RV7O+JiKgs0VW/VCZG8ImIiKj03bp1C8uWLUN8fDxCQ0Nx9+7dfG0ePXoEhUKhh+iIiIiopJjgExERVRJNmjTB1q1bMXToUFStWhWurq5q9TKZDI0bN8bo0aP1FCERERGVBBN8IiKiSkQul+P777/H/v37MWLEiHz1N27cQOPGjV9/YERERFRiBvoOgIiIiF4vY2NjjBgxAhkZGYiKikJERIR0i4yMlBa0JSIiovKFI/hERESV0BdffIHp06dD01q7NjY2OjlHRkYG5syZA2tra6Snp2PVqlUwNTXN1y4xMRGrV69GRkYGvvzyy3zHqFmzJpKTkwEAx44dQ//+/QEAx48fx+nTp5GVlQV/f3/4+PjoJG4iIqLyigk+ERFRJbRz505s2bIFdnZ2OH36NPz9/SGEwK5duxAQEKCTc0ycOBH9+/dH//79sWfPHgQEBGDt2rX52kVERODevXuwtrbOV7djxw58/fXXUl2nTp0AAHfv3sWyZctw5coVCCHQokUL/PTTT6hRo4ZOYiciIiqPOEWfiIioEurevTvGjBmDfv36wcLCAh06dEDHjh0xa9YsLFmypMTHj4mJwXfffYcePXoAAHr06IEtW7YgLS0tX9vmzZvD09MzX7lKpcLPP/8MDw8P+Pj4wMfHB4aGhgCA9evXw9fXFzKZDAYGBvD29sbmzZtLHDcREVF5xgSfiIioEnr06BFOnz6N5ORk9O7dGwEBAXj+/DkuXLiAEydOlPj4QUFBsLOzg5mZGQDA3t4eJiYmCA4O1tjewCD/V5KTJ0/iwoULaNiwIbp37474+Hip7syZM2q7ANSvXx9nz54tMJ6srCykpqaq3YiIiCoaJvhERESV0MiRI9G3b1/MmzcPbdu2RXp6OszNzTF58mR06NChxMePjo7Ody2/paUlYmJiinyMHj16IC0tDWfPnkV0dDT8/PyQk5Oj8fivOvaKFStgZWUl3WrWrFnMZ0RERFT28Rp8IiKiSsjHxweJiYkwNjYGAGzatAmDBw/G06dP8fbbb5f4+DKZTBq9z6NQKKTzFec47du3R2BgIBo2bIjLly+jdevW+Y7/qmMHBARg5syZ0v3U1FQm+UREVOFwBJ+IiKiSMjMzk65pB4A2bdqgV69e2LJlS4mP7ezsjJSUFLWy9PR0ODs7a3U8e3t7DBo0CJGRkRqPn5aWVuixTU1NIZfL1W5EREQVDRN8IiIikkREROTbqk4bHTt2RFRUFBQKBQBI0+e9vLy0PqaRkRGaNWsGAOjSpQtCQ0Oluvv370sr7BMREVVWTPCJiIgqiR9//BGdO3eGh4cHxo0bl++a9bNnz6JVq1Z49uxZic/l7OwMX19faeG7kydPYtKkSTAzM8OaNWtw7949tfZCCAgh8sUbEhICALh37x7kcjnc3d0BABMmTMAff/wBAFAqlQgODsbYsWNLHDcREVF5pvU1+NevX8fff/+N+Ph4GBoaombNmmjVqhXq1q2ry/iIiIhIB44dOwZ/f3/p/q1bt3D+/Hn89ddfMDExwYIFC7B69Wq0bNkS+/fv18k5t2zZgnnz5uHKlStISkrCypUrAQAHDx6Em5ublKxfv34dgYGBSEhIwLlz59C+fXsAQHBwMIYNG4b27dujU6dOWLp0qXRsT09PjBw5ErNnz4ZCocC6devg6Oiok7iJiIjKK5l4+efyQmRkZGDDhg3YuHGj2lY10sFkMrz55puYP38+BgwYoNNAX5fU1FRYWVkhJSWF1+cREVGZoIu+qV27dqhVqxYWL14MZ2dnXL16FZMmTcKAAQNw8uRJ/PXXXwgICMDChQvVrsuvqNjfExFRWaKrfqnII/g3btzA2LFj0apVK3z11Vdo0KABXFxcYGFhAZlMhrS0NISFheHGjRs4dOgQDh06hJ07d8Lc3Fzr4IiIiEg3srOzsW/fPshkMgBAhw4dcPToUTRt2hQ1atRAYGAg2rZtq+coiYiIqCSKlOCHhITg66+/xokTJ2BnZ6exjbW1NaytrdG8eXOMGDECDx8+xMKFC7Fy5cpKMRJARERUltWqVUtK7vM0bNgQXbt2xbfffqs2WnDs2LFyOxOPiIioMitSgn/u3Llir6hbp04dLFiwAL/88gv8/Py0Co6IiIh046+//sLOnTvzLWSnUqmwfft2qfz58+c4ePAgE3wiIqJyqEjX4N+4cQMeHh6vIx694zV5RERU1uiibzIwKPrGOTKZDCqVSqvzlBfs74mIqCx5rdfgf/PNN1i1ahXMzMzy1clksnxT/oiIiKhsGTJkCD755JNXro2TkZGBxYsXv6aoiIiISJeKNIJvYGBQaBJvbGyM2rVrY/jw4Zg3b165Tvj5iz4REZU1uuibLl26BG9vb523La/Y3xMRUVnyWkfw3dzcMHjwYJiamhbaLjk5GUuXLsWCBQu0DoiIiIh0rzgJe0VP7omIiCqqIiX4CxcuxAcffPDKdhcuXMCMGTOY4BMRERERERG9ZkVacee99957ZZuwsDC0a9cO2dnZJQ6KiIiIiIiIiIqnSCP4Rkavbla7dm388ssv8PT0LHFQRERERERERFQ8Rd8z5wXffvutxnJfX198/fXXJQqIiIiISt+zZ8/0HQIRERHpmFYJ/oEDBzSWr169GsuXLy9RQERERFT6evbsWWDdrFmz0LFjR3z44Ye4fPnya4yKiIiISkKrBP/27duYM2eOdD8pKQl9+vTB/Pnz4eTkpLPgiIiIqHTcvXsXHh4esLCwQJMmTXDo0CEAwD///IP169fjwIED2LhxIw4dOoSbN2/qOVoiIiIqiiJdg/+yCxcu4M8//8TcuXPRq1cvvPfeezAwMEBgYCDq1aun6xiJiIhIx+Li4uDh4YHhw4ejatWq+OGHH2BtbY3MzEwAkH6wnzx5MubMmYNjx47pM1wiIiIqAq0SfEdHR/j7+yMnJwddu3aFn58ftm3bhmrVquHkyZMcxSciIirjxo4dq7ZuzoQJE7BlyxbY2trC0NAQMpkMAODs7IyzZ8/qK0wiIiIqhiIl+OPGjYNSqdRY5+npCblcjpkzZ0KlUuHcuXMICwsrdiC//vorFi5ciMOHD8PNzQ0AkJGRgTlz5sDa2hrp6elYtWoVTE1NS1RHREREgLu7u9r9p0+fIjo6GlZWVjA3N5fK4+PjoVAoXnd4REREpIUiJfixsbG4ffs2XFxcYGCgftm+hYWFlNCrVCokJSUVO4j4+HgolUpcvXpVrXzixIno378/+vfvjz179iAgIABr164tUR0REREBycnJ8Pf3h7u7O+Lj43H+/Hk0btwYjx49gqGhIeLi4lC9enUcPnw4348BREREVDbJhBDiVY1OnDiBli1bwsHB4ZUH3LNnD4YPH17sQHJycmBoaIiwsDC4ubkhJiYGdevWRXJyMszMzJCQkABXV1fExcUhLS1NqzpLS8t8583KykJWVpZ0PzU1FTVr1kRKSgrkcnmxnwcREZGupaamwsrKSqd9k0qlwtKlS/Hjjz/Czs4OK1asQI0aNTB37lz06NEDly9fxp07d/Dnn39i8+bNGDFihE7OW1aUxmtKRESkLV31S0UawbezsytScg8gX3L/999/480333zl416eGRAUFAQ7OzuYmZkBAOzt7WFiYoLg4GDExcVpVdelS5d8512xYgUWL15cpOdGRERUURgaGmLRokVYtGiRWvmePXvw5MkTDBkyBKdOncLw4cMxbNgw/QRJRERExVKkbfIePHiAixcvFuvAQgh89tlncHR01Cqw6Oho2NjYqJVZWloiJiZG6zpNAgICkJKSIt0iIyO1ipeIiKi8ycnJQWxsLCIiIqRbWFgYli5dCgDo2rUrk3siIqJypEgJ/tChQ3Hy5ElMmDAB169fL7RtRkYGjh07hh49eqBz585ar6gvk8mkUfg8CoUCxsbGWtdpYmpqCrlcrnYjIiKq6Hbs2AFbW1vUqFEDtWvXlm5169bFpk2b9B0eERERaaHI2+QtWrQIx48fx7vvvosnT56gYcOGcHR0hIWFBRQKBVJSUvDo0SOEh4ejX79+2LVrl9aj90DutjwpKSlqZenp6XB2dkZOTo5WdURERJRr5syZGDBgAPz9/WFhYSGVCyGwfft2PUZGRERE2irSInsvysnJwYkTJ3DixAncuHEDT548QZUqVVCjRg20b98eAwYMQP369bULRiZTW2SvQYMGSEpKgomJCWJiYlC/fn08efIESUlJWtW9PLKvCRfdISKisqY0+qbmzZvjt99+07jGTnh4uLRlbUXF/p6IiMqS17rI3osMDAzg5+cHPz8/rU+qSd7vDHn/dXZ2hq+vL86ePYuuXbvi5MmTmDRpEszMzLSuIyIiolzbtm3D0aNHMXHixHx1wcHBFT7BJyIiqoiKPYJfGtLT07F3715MmjQJCxcuxJQpU2BnZ4fExETMmzcPbm5uSEpKwsqVK2FiYgIAWte9Cn/RJyKisqY0+qaePXsiNDQULi4uajvZ5OTk4J9//sHTp091cp6yiv09ERGVJbrql8pEgl+WsMMnIqKypjT6plGjRuH+/fuoXbu2WoKfnZ2NoKAgREVF6eQ8ZRX7eyIiKkv0NkWfiIiIyr8pU6bAwcEBLi4u+epOnz6th4iIiIiopLRK8BMTE2FnZ6frWIiIiOg1ad68uVZ1REREVHYZvLpJfu+88w5CQkJ0HQsRERGVkpiYGGRkZEj3IyIiNN7CwsKwZMkSnZwzIyMDkydPxieffILp06cjKytLY7vExETMmTMHkydPVitPSUnBO++8A7lcjjfffBOXL1/Od3wbGxvIZDLIZDJ8//33OombiIiovNIqwbe3t8cXX3wBPz8/bN68ucIvxENERFTeeXh4YOrUqdL9Dh06oHbt2vludevWxcaNG3VyzokTJ8LHxwfLli1D8+bNERAQoLFdREQE7t27p/YDBACsWrUKAwYMQGBgIGrWrIm+ffuqtdmxYwe+/vprnDp1CqdOnUKfPn10EjcREVF5pdUie2lpabC0tIRSqcQvv/yCb7/9FkZGRhg6dCi6d+8OmUxWGrG+Flx0h4iIyhpd9E3Xrl2Do6OjdM39mjVrkJ2dDS8vLxgZ/d8Ve0qlEtu2bcPBgwdLFHNMTAzq1q2L5ORkmJmZISEhAa6uroiLi4OlpWW+9gsWLEBERAR27dollZ05cwadO3cGkPsa2NnZ4cKFC2jZsiVUKhV69uyJjRs3wt3d/ZXxZGVlqc0gSE1NRc2aNdnfExFRmaDXRfbyOmYjIyP06dMHb775JhYtWoSePXuiTp06eOedd/DBBx+gYcOGWgdGREREutOiRQu1+2PGjEF2djbs7e3ztS1KwvwqQUFBsLOzg5mZGYDc2X8mJiYIDg5Gly5d8rV/cSX/PHnJPQDI5XLI5XLpB4qTJ0/iwoULaNiwIbp164a9e/fCwcGhwHhWrFiBxYsXl/RpERERlWlaTdG/evUqACA4OBhDhgxB3bp1cfr0aaxevRrXr1/H+PHjsW/fPowYMQJpaWk6DZiIiIhKrlq1aoiNjcX06dPh5+cHf39/rF+/HqmpqRpX1i+u6Oho2NjYqJVZWloiJiZGq+OFhoaiY8eOcHJyAgD06NEDaWlpOHv2LKKjo+Hn54ecnJwCHx8QEICUlBTpFhkZqVUcREREZZlWCf67776LZs2a4e2330ZUVBQOHjyIhw8fYvbs2bCysoKbmxuWLVsGV1dXjBgxQschExERUUnt2LEDb775Jr744gvcvHkTERER+Pzzz9GoUSPcvXu3xMeXyWTS6H0ehUIBY2NjrY735Zdf4rPPPst3jvbt2yMwMBD379/Ptwjfi0xNTaVZAHk3IiKiikarBD88PBwNGjTAtWvXcP78eQwcOFDj1LrQ0FDupUtERFQGLVq0CG3atMGdO3cQHh6O4OBgREZGYt++fZg/f36Jj+/s7IyUlBS1svT0dDg7Oxf7WL///js6d+6M2rVra6y3t7fHoEGDOCpPRESVnlYJ/qefforDhw+/cp/cmTNn4sCBA1oFRkRERKUnJycH69evR4MGDdTKO3bsqJM1dDp27IioqCgoFAoAkKbme3l5Fes4t2/fRkREBPr27VtoOyMjIzRr1kyrWImIiCoKrRL8zMzMAuuuXLmCadOmYfPmzXjzzTfRs2dPrYMjIiKi0rFu3TpcuHBBY93L+9X//PPPxT6+s7MzfH19cfbsWQC5i+JNmjQJZmZmWLNmDe7du6fWXgiBlzf2efDgAb755ht07doV4eHh+Pfff7F582YAwI8//oiQkBAAwL179yCXy3WyOCAREVF5ptUq+sePH0e1atXw4MED1K5dG2PGjEG1atUQHx8PHx8fHDt2DLVq1cKECROwceNGmJub6zpuIiIiKoE//vgD//zzDy5cuIAqVaoAAFQqFW7fvg0DAwOMGjUKAJCdnY0zZ84gOjq62OfYsmUL5s2bhytXriApKQkrV64EABw8eBBubm5SQn79+nUEBgYiISEB586dQ/v27fH48WNpFsCGDRukY3777bcAchf6HTZsGNq3b49OnTph6dKlJXo9iIiIKgKZePnn8iIwMDCAkZERGjRogKpVqyI5ORlnz57F9evX0adPHzx79gwmJiYIDAzEH3/8geXLl5dG7KVCV/sPEhER6Upp9E1DhgzB5cuX4erqCplMVmA7pVKJGzdu5Luevrxjf09ERGWJrvolrUbwmzdvju+//x41a9YEACQkJGD//v1wcXGBgYEBTExMpHZjx44tVwk+ERFRZTB58mR88sknaNy48Svbbt269TVERERERCWl1TX4o0aNkpJ7IHf12pycHKhUKim5B3Kn9WkzpY+IiIhKV9u2bQtM7o8ePap2f8yYMa8jJCIiIiohrUbwb9y4gZ9//hnu7u6Ij4/Hzp07kZmZCQsLC1hbW0vtrly5AicnJ50FS0RERLoRGRmJVatW4b///kN2drZUrlKp8O+//2LgwIFSmaatcImIiKjs0SrBnz17Nnr16oX//vsPBgYG+Pjjj9G4cWOMHj0abdu2xbRp09CqVSusWLECfn5+uo6ZiIiISqh3795ITk5G27ZtYWpqKpULIRAeHq6/wIiIiEhrWiX49erVw+3bt3H79m3Y2trCxcUFANCrVy9YWFggNjYWs2bNgoODAxYsWKDTgImIiKjkwsLCcOvWLdSqVStf3U8//aSHiIiIiKiktErwe/fujRYtWmDRokVq5RYWFgAAR0dH7N+/v8TBERERUekYMWIEEhISNCb4jRo10kNEREREVFJaJfh3795VuzbvRXFxcahevXqJgiIiIqLS9fnnn2PhwoXIyMhQK8/JycG2bduwb98+PUVGRERE2tIqwT9+/Dh+/fVXpKWlwdLSUirPzs7G0qVL8cUXX+gsQCIiItK9JUuWYOXKlVi1ahWEEGp1MpmMCT4REVE5JBMv9+pF4OTkhPj4+ALrVSpViYLSp9TUVFhZWSElJQVyuVzf4RAREZVK3ySXyzFlyhQMHz4cVapUkcpVKhXWrVuHTZs26eQ8ZRX7eyIiKkt01S9pNYI/ZswYPHnyBC1btlTbOkelUmHv3r1aB0NERESvR7NmzTBjxgzY29vnq/v444/1EBERERGVlFYJ/oQJEwAANWrUyFfXokWLkkVEREREpe6rr77Czz//jJEjR+arO3fuHAYNGqSHqIiIiKgktErwHR0dsWrVKiQlJWHNmjV48uQJ9u7di27dusHDw0PXMRIREZGOzZkzBw8fPsw3806lUuHGjRtM8ImIiMohrRL8OXPmYNOmTejcuTMAwNbWFpMnT0bv3r0xa9YsdOvWTadBEhERkW45OjoiMTERNWrUgJHR/30dUKlUePjwoR4jIyIiIm1pleCfOnUK//33H3bt2iWVGRsbo3///pgxYwZu376tq/iIiIioFEyZMgVyuRz16tVTK79x4wbef/99PUVFREREJaFVgu/l5QVXV9d85Tdv3kR4eHhJYyIiIqJS1rx5c2RkZCAqKgo5OTlSeWRkJA4fPszZeEREROWQVgm+g4MDMjIyIJPJAORO59uyZQu2bt2Knj176jRAIiIi0r0vvvgC06dPh6bdcm1sbPQQEREREZWUVgn+7NmzMWXKFFy7dg2XL1/GzZs3ER0djbfeegubN2/WdYxERESkYzt37sSWLVtgZ2eH06dPw9/fH0II7Nq1CwEBAfoOj4iIiLSgVYJvY2ODnTt34s8//8TNmzfRrVs3NG7cGD4+PtKovi6FhITgiy++QL169fDff/9h3LhxaNasGTIyMjBnzhxYW1sjPT0dq1atgqmpKQAUWkdERFTZde/eHWPGjAEAXL58GR06dACQu3DukiVLsH//fn2GR0RERFowKMmD27Zti4kTJ2L69Ono2rUrZDIZzpw5o6vYJMOGDcP8+fMxY8YMzJs3D0OGDAEATJw4ET4+Pli2bBmaN2+uNuJQWB0REVFl9+jRI5w+fRrJycno3bs3AgIC8Pz5c1y4cAEnTpzQd3hERESkBZnQdPHdK6SkpGDbtm3477//oFAopHKVSoWgoCA8evRIp0FaWFjg+vXraNiwIRISEuDp6Ylr166hbt26SE5OhpmZGRISEuDq6oq4uDikpaUVWGdpaal27KysLGRlZUn3U1NTUbNmTaSkpEAul+v0eRAREWkjNTUVVlZWOu2b/vjjD/Tr1w/vvfcevv76a0ydOhVffvklZDIZevfujR9//FEn5ymrSuM1JSIi0pau+iWtpuj36NEDf//9N5o2bQoLCwu1urS0NK2DKcigQYMwZswY/Prrr9i3bx82bdqEoKAg2NnZwczMDABgb28PExMTBAcHIy4ursC6Ll26qB17xYoVWLx4sc5jJiIiKst8fHyQmJgIY2NjAMCmTZswePBgPH36FN27d9dzdERERKQNrRL827dv48qVK/Dw8MhXd+TIkRIH9bIvvvgCfn5+aNmyJWbNmoWBAwfis88+y7fKr6WlJWJiYhAbG1tg3csCAgIwc+ZM6X7eCD4REVFFJYTAX3/9hYiICAghUKdOHXh6eqJNmzb6Do2IiIhKQKsEf+LEicjOztZY17x58xIFpElmZiYGDx6MhIQEzJgxA/Xq1YNMJpNG6PMoFAoYGxsXWvcyU1NTLr5HRESVxtq1a7F27Vo8fvxYrbxGjRpYsGCBtPAeERERlT9aJfhdu3bFxo0bMXLkSBgY/N86fTk5Odi2bRv27dunswAB4P3338fBgwdhY2MDIQTeffddrFu3DikpKWrt0tPT4ezsjJycnALriIiIKqvBgwfj8OHDsLe3x6BBg+Dq6gqZTIaIiAgEBgZi/PjxuHPnDtauXavvUImIiEgLWi2y16RJE9y5c0fzAWUyqFSqEgeWJzExEU2bNpVGGoQQqFevHnbu3ImePXsiKSkJJiYmiImJQf369fHkyRMkJSWhQYMGGuteHtl/GRfdISKiskYXfdOBAwcwfPhwLF++HDNnzsw3q02lUuHLL7/ERx99hN9//x0dO3bUQeRlF/t7IiIqS/S6yN7kyZNRo0YNNG3aVG0EX6FQYMOGDVoHo4mNjQ3MzMwQHR2NGjVqSGXNmjWDr68vzp49i65du+LkyZOYNGkSzMzM4OzsXGAdERFRZbR3716sWbMG06dP11hvaGiIDz/8EHK5HJs3b67wCT4REVFFpNUIfmZmJhQKBapVqyaVZWdnw9jYGE+ePIGtra0uY8S///6Lr776Cm+99Rbi4uLQvn17dOjQAYmJiZg3bx7c3NyQlJSElStXwsTEBAAKrSsMf9EnIqKyRhd9k5eXF4KDg4vUtlu3bjh58qRW5ykv2N8TEVFZ8lpH8M+dOwcAMDc3R4sWLWBubg5zc3O1NseOHcPp06fRpUsXvPvuu1oHpImnpye+/vrrfOV2dnbYtm2bxscUVkdERFTZuLq6Frmtm5ubTs6ZkZGBOXPmwNraGunp6Vi1apXGhW0TExOxevVqZGRk4Msvv1SrO378OE6fPo2srCz4+/vDx8enSHVERESVUZES/K5du2LDhg3w9/cH8H8Jf5727dvj3XffRdOmTdGyZUudJ/hERERUMk+fPi1y28zMTJ2cc+LEiejfvz/69++PPXv2ICAgQOMCfhEREbh37x6sra3Vyu/evYtly5bhypUrEEKgRYsW+Omnn1CjRo1C64iIiCqrIiX4PXr0wIQJE6T7Qgj06tULy5cvh5+fn1TeqFEjdOvWTfdREhERUYncuHEDO3fuRFGuzLt8+XKJzxcTE4PvvvsOW7duBfB/3yUWL14MS0tLtbbNmzeHp6cnIiIi1MrXr18PX19fyGQyyGQyeHt7Y/PmzVi2bFmhdURERJVVkRL8l68B6NChA/r06YNp06bla/vyr+9ERESkfwkJCRg9enSR2spkshKfLygoCHZ2dtICt/b29jAxMUFwcDC6dOmSr/2Li/bmOXPmDObOnSvdr1+/Po4ePfrKOk2ysrKQlZUl3U9NTS3+kyIiIirjipTga/q1/8UF9l7VloiIiPRr8ODB+OSTT2BhYVFou4yMDCxdurTE54uOjoaNjY1amaWlJWJiYrQ+xouPL6xOkxUrVmDx4sVFPjcREVF5VKQEvzi/5CsUCq2DISIiotIxdepUNGrUqEhtP/zwwxKfTyaT5dueVqFQwNjYWOtjvPj4wuo0CQgIwMyZM6X7qampqFmzZpFjISIiKg+KlOD//vvvaN++vVrZgwcPcOvWLbWy7OxsXL9+Hfv379ddhERERFRi3t7epdK2IM7OzkhJSVErS09Ph7Ozs9bHSEtLkx5fWJ0mpqamGlfwJyIiqkjyX/CmQVpaGhQKBQwNDaVbgwYN1O4bGhpCJpPB0NCwtGMmIiKiMq5jx46IioqSZvblTZ/38vIq8jG6dOmC0NBQ6f79+/fRqVOnV9YRERFVVkUawV+7dq3aKvqFWbNmTYkCIiIiovLP2dkZvr6+OHv2LLp27YqTJ09i0qRJMDMzw5o1a+Dn5wd3d3epvRAi3zo+EyZMwNSpU7FgwQIolUoEBwdjyZIlr6wjIiKqrIqU4Pft27fIB3zvvfe0DoaIiIgqji1btmDevHm4cuUKkpKSsHLlSgDAwYMH4ebmJiX4169fR2BgIBISEnDu3DnpskBPT0+MHDkSs2fPhkKhwLp16+Do6PjKOiIiospKJrjsvZrU1FRYWVkhJSUl3/aARERE+sC+Sff4mhIRUVmiq36pSNfgExERUcXy1Vdf4auvvsKFCxcAAAsWLEC1atXg5eWF//77T8/RERERkTaY4BMREVVCAQEBqFmzJlq3bo0jR45g2bJl6Nu3Lz7++GN8+umn+g6PiIiItFCka/CL6tmzZzAxMeFK+kRERGXciBEj4OfnByEEFi5cCA8PD+zcuRMGBga4du2avsMjIiIiLeh0BD84OBiHDx/W5SGJiIioFBgY5H4FWLduHUJCQvD5559LZadOndJnaERERKSlIo3gV69eHYmJiUU6YMuWLTFkyJASBUVERESlq2PHjnBzc0NERARmzJiBLl264Pz581i+fDmuXr2q7/CIiIhIC0VK8MeOHYv09HR4enpCJpPh0KFDAIB+/frBzMxMavfHH3+o7WlLREREZVPfvn3Rq1cvpKWlwdraGgDQpEkT7NixAyqVSs/RERERkTaKlOBPmjQJAODs7AwgN5Hft29fvnaDBg3C4MGDdRgeERERlRYjIyMpuQcAa2tr3LhxA5GRkXj//ff1GBkRERFpo0gJfl5in8fGxkZju4iICAQGBpY8KiIiIipVBgYGkMlkGutatmzJBJ+IiKgc0moVfSEE1qxZg0mTJsHc3BwAcPbsWUyaNAkNGjTQaYBERESkez4+PhgyZIi0sB4AqFQq/PDDD/D399djZERERKQtrRL81atX4/3338fcuXNha2uL1NRUZGdnw8bGBr/++quuYyQiIiId+/zzz9G0adN85TY2NggLC9NDRERERFRSWiX4VapUwdGjR3H27Fn8+uuvSE9Ph7u7O4YNG4Zq1arpOEQiIqKK7dmzZ4iPj0d8fDzi4uKk/8+7xcTE6PycmpJ7AKhVqxZGjx6NGTNm6PycREREVLq0SvAB4OHDh8jOzsbKlSvx5MkThISEMLknIiJC7lT3pKSkAhP2l8vT09Nfe4yjRo3KV/bs2TOcO3cu39o7REREVD5oleCfOHEC/v7+8Pb2ho+PD2xtbWFoaIiBAwdiy5YtsLe313WcREREepWRkVHkhD0xMRE5OTnFOr6JiQkcHBxQvXp1ODg4qN0sLS0xYcIEnT6f7777Ds2bN1e7Bt/ExAR9+/bFnDlzdHouIiIiej20SvDnz5+P//3vf4iPj5fKvL290bJlS4wdOxY//PCDruIjIiIqFUqlEk+ePClSwh4fH4/MzMxin8PGxqbApP3lcrlcXuCq9qmpqTpP8NevX4/Ro0fr9JhERESkX1ol+HXr1sX8+fOxePFi9YMZGeHMmTM6CYyIiKg4hBBIT08vcJT95bInT55ACFGsc5iamqJ69epFStjt7OxgbGys1fPIzs7Gs2fP8Pz5czx79gyJiYnFPs6rMLknIiKqeLRK8N3c3ABAbaTh8ePH2LRpE1xcXHQSGBERUXZ2NhITE4s8yv78+fNiHV8mk8HW1rbAUfaXy6pWrVrgKPuLhBBQKBRISUlRS9Q1/VdT2cvT+4v7vIoqPT0dmzZtwtWrV2FsbIwuXbrggw8+gKmpaamcj4iIiEqXVgm+n58fAgICEB0djcOHD+P69evYunUr0tLScOzYMV3HSEREFYQQAqmpqUUeZU9KSir2OapUqVLkUXZbW1sYGWnuCvOS9LykOzExEVFRUUVK0DUl6cVlYGAAMzMzVKlSpdgzDYri/v376NChA+Li4lCjRg04Ojpi9erVWLt2LQIDA+Hk5KTzcxIREVHpkgktvzXcv38fK1euxM2bN5GVlYXGjRvjo48+QrNmzXQc4uuVmpoKKysrpKSkQC6X6zscIqIyT6FQICEhocij7AqFoljHNzAwgJ2dXZESdgcHB1hYWEiPfTlJL84o+rNnz0qcWBsYGKBKlSpSov7ifzWVvfhfY2NjabZAafRNvXr1Qp06dfDxxx/D0dFRKv/rr7+wdetWbNmyRSfnKavY3xMRUVmiq35J623y6tWrh23btml9YiIiKpuEEHj69GmRE/anT58W+xxVq1Yt8rR4a2trKJXKQhP0hIQEREZGaqwraZJuaGioVYJuZmamlqSXNaampti0aVO+8ubNmxc4q4GIiIjKNq178F9++QVbtmzBw4cPYWFhgW7dumHWrFmoVq2aDsMjIiJdeP78ucZkvaCp8kqlsljHNzQ0hL29fYGj7A4ODrCxsYFcLpdG2AsbVb9//z5u3rwpja6XdpJeWKJuZGRUZpP0kqhXr57G8szMTFy9evU1R0NERES6oFWCv2nTJkybNg1169ZF165dYWlpidu3b8Pb2xtBQUGoXr26ruPExYsXcenSJdStWxdt27ZFlSpVMGfOHFhbWyM9PR2rVq2SFgXKyMgosI6IqCLIyclBcnJykUfZU1NTi30OuVyucUTd1tYW1tbWkMvlMDc3h5mZGQwMDKRk/OVkPe/adV0k6dpOd6+oSXpJGBsb48svv4S/vz+srKzw+PFjnD59GuvXr4e3t7e+wyMiIiItaHUNvouLC1q3bo2DBw/C0NBQKr916xY2b96ML7/8UqdBbt++HQ8fPsTy5culsuHDh6N///7o378/9uzZg3/++Qdr1659Zd2r8Jo8ItKXZ8+eFTlhT0hIgEqlKtbxjYyM4ODggBo1asDJyQn29vawtbVFtWrVULVqVZibm8PU1FSanv3yVm1ZWVklTtKNjIxKNN29siqNvkmhUGDkyJE4ePCg9OOHEAI9evTAt99+C0tLS52cp6xif09lgUqlwvnz5/H48WM4OTmhXbt2at+tiajy0FW/pFWCX6dOHXzzzTfo0qVLvrrRo0dj+/btWgf0snPnzmHp0qU4efKk9AUkJiYGdevWRXJyMszMzJCQkABXV1fExcUhLS2twLqifFlhh09EuqJSqfDkyZMiT4tPT08v0nFlMhlMTU1RpUoV2Nvbw9HREfb29rC2toaVlRWqVq2KKlWqwMTERPqiqFKpoFAodLLdWnGT9JdH0qn4SrNvun37Ns6cOQMA8PLyQqtWrXR6/LKK/T3p27FjxzBt2jRERUVJZS4uLtiwYQMGDBigx8iISB/0usjepk2bcPny5XwJ/rNnz3Dnzh2tg9Fk5syZ8Pb2xpQpU/Dw4UMsWLAAYWFhsLOzg5mZGQDA3t4eJiYmCA4ORlxcXIF1mn6QyMrKQlZWlnRfm2msRFR5ZGRkFHmUPTExscCt0l5M0qtUqQIHBwe4urqiatWqsLOzk6bAW1hYSKPXBgYGEEIUaeQ+b6p8QYyMjEo03Z3Kv6dPn2LhwoUYNmwYpk6dirS0NOzduxcqlQqtW7fWd3hEFdqxY8fg7++fb1ZUdHQ0/P39ceTIESb5RKSVIn1L69mzZ74vig8fPsTp06fVyuLj4+Hl5aWz4EJDQ/HXX39h27ZtaNasGT777DN0794dH3/8MWxsbNTaWlpaIiYmBrGxsQXWabJixQosXrxYZzETUfmiVCqRmJhY5FH2zMxM6bEymazAhLhBgwbw8PBAlSpVIJfLYWlpCQsLC2kKvIGBQbHizMnJyfdjQV6Srs10dybpNH78eJw4cQKdOnVCixYtYGlpiUmTJmHgwIFITExEnz599B0iUYWkUqkwbdo0jZc8CSEgk8kwffp09O3bl9P1iajYivQNz8HBAXfv3kWDBg2kDxpXV9d87VxdXbFo0SKdBXfr1i3Y2NigWbNmAICpU6di8eLF0pfqFykUCmk7ooLqNAkICMDMmTOl+6mpqahZs6bOngMRvV5CCKSnp2tMzjWVJSUlSSPpBSXE1atXh5ubm9qU8ypVquhk8U5jY2Otr0lnkk4lkZ6ejvj4eJibm6uV9+vXD/PmzWOCT1RKzp8/rzYt/2VCCERGRuL8+fPo2LHj6wuMiCqEIn07nDp1KqpVq4a6desCyJ3WZ25uDhMTk1INTqlUqm3VZGZmhvr16yM7OxspKSlqbdPT0+Hs7IycnJwC6zQxNTXlCvtEZVx2djYSEhIKHWVPTk5GamoqMjIyCtwSLe+/7u7uaNasmZRIl5SxsbHW0905OkP6UqdOnXzJPQBcvXoVkZGReoiIqHJ4/PixTtsREb2oSAn+W2+9pXa/WbNm6NixI3bt2lUaMUk8PDyQkpKCxMRE2NnZAcidklq7dm1ERUVBoVDAxMREmn7v5eWFevXqYdy4cRrriKhsEEIgJSVFY6L+5MkTPH36FGlpacjMzERWVhZycnIKTJAdHR3h5uZW4pgKS9Jf9V8m6VQeVatWDcuWLcOoUaNga2uL0NBQbN68GVu3bsXgwYP1HR6VAzk5OYiIiEBaWhosLS1Rq1atYl9+VBk5OTnptB0R0Yu0mt9Zv379Ajv/f/75R5pSX1INGzaEr68vvvvuO0ycOBFPnz7F8+fP8c477+DYsWM4e/YsunbtipMnT2LSpEkwMzODs7MzfH19NdYRUekTQiAqKgrXr1/HvXv3pGT92bNnUCgU0gJxJiYmaoly3kwaW1tb2NraanVuQ0NDmJqawsLCAubm5sWa7s4knSqbRYsWYdy4cWqXpQkh4O/vj6+++kon58jIyMCcOXNgbW2N9PR0rFq1SuOsuePHj+P06dPIysqCv78/fHx8AABBQUHo1KmTWtsWLVrg6tWr0vFr1qyJ5ORkALkLl/Xv318nsVPhQkJC8Ntvv6ktTiyXy+Hr64s33nhDj5GVfe3atYOLiwuio6M1Xocvk8ng4uKCdu3a6SE6IirvtNom78SJE/j222/x7rvvqi3hn5WVhdWrV+PUqVM6CzAxMREffvghWrRogYiICIwdOxaNGzdGYmIi5s2bBzc3NyQlJWHlypXSJQOF1b0Kt80hKrrnz5/jr7/+wr///otHjx7h6dOnAABra2utf1QTQsDQ0FC6Nt3CwgJyuRzVqlXTuKDci0k8k3SqqEqzbwoPD8fVq1dhZmaGJk2aoHbt2jo79vDhw9G/f3/0798fe/bswT///IO1a9eqtbl79y6GDx+OK1euQAiBFi1a4KeffkKNGjWwYMECNG3aVPoRIjAwEEqlEv/73/8A5O7q4+joCGtrawBAp06divw5wP5eeyEhITh8+HCB9YMGDWKS/wp5q+gDUEvy87aE5ir6RJWPrvolrRL8pk2b4vbt25oPKJMVaQunsoodPlF+Qgg8ePAA169fx4MHD5CYmAilUilt4aZJTk4OsrOzYWhoKI3WV61aFVZWVrCxsYGdnR2srKzy7ZXO6Z1E+ZVG35Q3Su/p6Yk2bdrgf//7HzZt2oQGDRpg//79qF+/fomOHxMTg7p16yI5ORlmZmZISEiAq6sr4uLiYGlpKbWbMGECHBwcsGTJEgDA5MmTYW1tjWXLliEiIgK1atWS2o4dOxbTpk1DkyZNoFKp0LNnT2zcuBHu7u6vjEfTtrg1a9Zkf19MOTk52LBhQ6HbCsvlckybNo2f569w7NgxTJs2TW3BvZo1a2L9+vVM7okqIV319VpN0Z88eTLMzMzQoUMHtQ9vlUqFNWvWaB0MEemXEAKJiYn4559/cO/ePcTGxuL58+cwNTVVmwVjZWUl/b9KpcLz589hbGwMOzs71KtXD82aNYOTkxNXeScqwwICArBv3z60bt0aR44cwaeffor3338fAwYMwKeffoqdO3eW6PhBQUGws7OTfgS0t7eHiYkJgoOD0aVLF6ndmTNnMHfuXOl+/fr1cfToUQBQS+5zcnIQEhKCJk2aAABOnjyJCxcuoGHDhujWrRv27t0LBweHAuPhtri6ERERUWhyD+R+SY2IiNDJ+igV2YABA9C3b1+cP38ejx8/hpOTE9q1a8fZaERUIlp9+x4+fDieP3+eb795AFi4cGGJgyKi0iWEwNOnT/Hw4UPcvn0bUVFRSE9Ph6GhoVpSbmxsLG0xqVKpkJaWBplMhmrVqqF27drw9PREo0aNmMgTlUMjRoyAn58fhBBYuHAhmjZtip07d8LAwADXrl0r8fGjo6PzfU+wtLSUFr8tqJ2mNgBw6dIleHt7S/d79OiBtLQ0nD9/HpMmTYKfnx8uXbpU4Kgxt8XVjbS0NJ22q+wMDQ25FR4R6ZRW38rNzc2RkJCAgIAAXL16FcbGxujcuTNmzpyJ6tWr6zpGItJSTk4Onj59iri4ONy9exfh4eF4+vSpdJ37i/IWvlIqlUhOToZKpULVqlXh4uKCJk2aoGXLlpzGSlSB5CXC69atQ0hICE6dOiWVnTp1CkuXLi3R8WUyWb5LeBQKhfSjYUHtNLUBgO+//z7ftGWZTIb27dsjMDAQDRs2xOXLl9G6dWuN8XBbXN148fIKXbQjIiLd0irBv3btGjp37gwTExM0btwYjo6OuHr1Kt566y2cPHkSDRs21HWcRFSInJwcJCcnIyEhAZGRkWrXyect2JMn7wu8UqlEYmIiMjMzpe3m3N3d0bJlS9SpU4fXThJVcB07doSbmxsiIiIwY8YMdOnSBefPn8fy5culVepLwtnZGSkpKWpl6enpcHZ2LrRdWlpavjYAcOXKFaxevVrjuezt7TFo0CBERkaWOG4qXK1atSCXy195Df6Ll1dQwVQqFafoE5FOaZXgz5o1CwsXLpSuxc8TExODBQsWYNu2bToLkIj+T05ODpKSkpCQkID4+HiEh4cjNjYWz549y5fIA7mjW9nZ2UhMTERSUhKMjIzUrpNv1qwZR+WJKqm+ffuiV69eSEtLk1ahb9KkCXbv3q2T43fs2BHjxo2DQqGAiYmJNO3ey8tLrV2XLl0QGhoq3b9//36+rfFu3bqFRo0aFfrDo5GRkc626aWCGRgYoFq1atKPMpr6Hl9fX/5IXASaFtlzcXHBhg0buMgeEWlNqwTf1dUVs2bNylfu7Oxc5O3oiKhgKpVKSuQTEhLw+PFjREdHIz09XWP7vEQ+r71CoUC1atXg6uoKDw8PNGvWDPXq1eOoABGpMTIykpJ7ANL/5+0rXxLOzs7w9fXF2bNn0bVrV5w8eRKTJk2CmZkZ1qxZAz8/P7i7u2PChAmYOnUqFixYAKVSieDgYGlF/Tw//PBDvv3tf/zxRzRo0ABvvPEG7t27B7lcXqTV9Klkjh07htGjR6Nhw4bw9fVVW3Q1JSUFTZs25RZ5RZC3Td7Lm1lFR0fD39+f2+QRkda0SvALus4+Pj4ely9fLlFARJWJSqXCkydPpMQ8ISEBMTExSElJydfp51EoFFLbpKQkWFhYwMXFBY0aNYKPjw88PDw0LoBJRJVbTEwMrKysYGFhASB3NXRNVCoVNm7ciHXr1pX4nFu2bMG8efNw5coVJCUlYeXKlQCAgwcPws3NDe7u7vD09MTIkSMxe/ZsKBQKrFu3Do6OjmrHCQwMxJw5c9TKgoODMWzYMLRv3x6dOnUq8ZoB9GoqlQrTpk2DEAIhISG4e/cuXF1dUbVqVaSnpyMiIgI1atTA8OHD+YNyIV58HV8mhIBMJsP06dPRt29fvo5EVGwyUVAWUYhVq1YhMTER/v7+sLKywuPHj3H69Gls27YNw4cPL/AaufKgNPYaJlIqlfkS+fj4eCQlJRWYyGdlZam1VyqVcHR0RMOGDeHp6QlPT080aNBA42JURFSx6KJvsrOzQ58+fbBjxw4AQO3atTUm+XkJhkqlKlHMZR37++ILCgrKd/mEJoGBgVwZvhB8HYlIE131S1qN4M+ZMwcff/wxOnTogOzsbAghYGRkhLFjx+LTTz/VOhii8i5v4boXE/O8kfbCEvn4+Hip7ZMnT1CtWjU0aNAAnp6eGDRoEDw9PQvd35mI6FV+++03tZHxyZMnIzs7G15eXmpbXSqVSq6lQxo9fvxYp+0qK76ORFSatErwZTIZPv30U3z00Uf4888/AQDNmzdHjRo1dBocUVmVt3Ddy4l8cnJygYn88+fP1RL5hIQEZGdno169evD09ES7du3g6emJN954g1s5EZHOtWjRQu3+mDFjkJ2dDXt7+3xteS07aeLk5KTTdpUVX0ciKk1aTdF/WUxMDA4fPgx3d3f06NFDF3HpDafs0YvyEvmXE/PCFqB69uxZvvaJiYmoUaOGNLXew8MDnp6ecHZ21rgCMRHRi3TRNx08eBBDhgzRcWTlF/v74lOpVHBzc0N0dLTGH7NlMhlcXFwQFhbGa8cLwdeRiDTR6xR9BwcHtGjRAvPmzYO7uztatGiB1NRU1K9fHzdu3MDcuXO1DohIXzIzMxEaGiol5PHx8Xj69Gmh7fOupX8xmTc0NJQS+X79+sHT0xONGzdGlSpVXt+TISJ6yZQpU5CVlYX33nuPa3eQVgwNDbFhwwb4+/tDJpOpJad5P1avX7+eSekr8HUkotKkVYLfqFEj/PLLLwCA8ePHIzk5GZcvX4anp6fG7fOIyoNvv/0WkZGR+cozMjI0JvKZmZmoW7cuPD090bt3bympr1WrFkfliajMcXJywsOHD9GrVy80adIEo0aNQpMmTfQdFpUzAwYMwJEjRzTu375+/Xpu7VZEfB2JqLRoleDnregZFhaG3bt3Y8qUKfD09ASQO6pJVN4oFArcu3cP5ubmuHXrFsLDw9USeQsLC3h4eOCtt96SEvmmTZuiatWq+g6diKhIvv76a7Rp0wYA8O+//2Lr1q24f/8++vfvjyFDhvDzjIpswIAB6Nu3L86fP4/Hjx/DyckJ7dq144hzMfF1JKLSoNU1+JMnT8Ybb7yBrVu34smTJwgJCYFcLseFCxfg6+uLtLS00oj1teA1eZXTnTt3sHXrVlhbW+Onn35Su17e09MTderUgYGBgb7DJKJKqrT6JoVCge+//x4HDx6Era0tRo4cibZt2+rs+GUZ+3siIipL9HoN/urVq7Fp0yZ06tQJEydOhFwuxw8//IBTp07h/fff1zoYorLghx9+gIuLi77DICIqdSYmJnj33Xfx7rvv4tChQ+jRowecnZ0xatQorqdDRERUDmmV4FtYWGDevHlqZf369UO/fv10ERMRERG9BpmZmdi/fz82b96Mf//9F6ampvD29pYuxSMiIqLyRes5x7/88gv69OmDJk2aoFWrVvjf//6HlJQUXcZGREREOnL16lXp/2/fvo2pU6fC2dkZ48ePR0ZGBj777DNER0dj165daNWqlR4jJSIiIm1pNYK/adMmTJs2DXXr1kXXrl1haWmJ27dv4+2330ZQUBCqV6+u6ziJiIioBD766CP06dMHx44dw6VLl2BoaAg/Pz9MnDgRPj4++g6PiIiIdECrBH/VqlXw9/fHwYMH1Vb6vHXrFpYsWYIvv/xSZwESERFRyZ07dw7nz5+Hs7MzFi5ciLFjx8LJyUnfYRFVekqlEteuXUNSUhJsbGzQokULGBlp9RWdiEi7BN/ExATjx4/Pt41HkyZN8Pz5c50ERkRERLrj4OCAL774AgMGDOCuIERlxKlTp3Dp0iW8uKnVyZMn4e3tja5du+oxMiIqr7Tq4Tdt2oTLly/nK3/27Bnu3LlT4qCIiIhIt5YvXw5/f38m90RlxKlTp3Dx4kW8vGO1EAIXL17EqVOn9BQZEZVnRRrB79mzZ76R+YcPH+L06dNqZfHx8fDy8tJddERERKQTo0eP1ncIRPT/KZVKXLp0qdA2ly5dQqdOnThdn4iKpUifGA4ODrh79y4aNGggTct3dXXN187V1RULFy7UbYRERERERBXItWvX8o3cv0wIgWvXruHtt99+TVERUUVQpAR/6tSpqFatGurWrVva8RARERERVWhJSUk6bUdElKdIF+K99dZbRU7ud+3aVZJ4iIiIiIgqNBsbG522IyLKo7OVdoQQ+PbbbzF//nxdHZKo1CUmJuLs2bM4efIkrK2tAYALUBFRpfDLL79oLP/jjz8QHx//mqMhqlxatGgBmUxWaBuZTIYWLVq8poiIqKIo8aodERER2LFjB3bs2IGoqKhXflgR6VtCQgJu376NkJAQtS+xKpUKYWFhcHBw0GN0RESvx88//4yePXvmK2/ZsiV8fX1fuQAYEWnPyMgI3t7euHjxYoFtvL29ucAeERWbVp8aSqUSP/74I7Zt24ZTp07B0NAQPXr0wMKFC3H8+HFdx0hUIkIItaQ+ISFBqlOpVHj48CFu376Ne/fuoWXLluxMiajCunXrFpYtW4b4+HiEhobi7t27+do8evQICoVCD9ERVS55+9xfunRJbcE9mUwGb29vqZ6IqDhk4lVLeL7gv//+w7Zt27B7924kJCTAw8MDVapUwU8//QRbW1upTf369Ust4NKWmpoKKysrpKSkQC6X6zsc0pIQAvHx8bhz5w7u3LmDxMREqU6lUuHBgwdSUg8AvXr1wqBBg+Dn54cqVaroK2wiIo102TelpqZi6NChuH//Pry9vdXqZDIZLCwsMHr0aDRr1qxE5ynr2N9TWaFUKnHt2jUkJSXBxsYGLVq04GADUSWkq36pSJ8e+/btw7Zt23D+/HmYmJjA398fEydOROvWrTFy5EgpuQdQasm9QqFAy5YtsWHDBnTs2BEZGRmYM2cOrK2tkZ6ejlWrVsHU1BQACq2jiksIgbi4OCmpf/LkiVSnUqlw//593L59G6GhoQCAnj17IiAgAL169ULVqlX1FTYR0Wsll8vx/fffY//+/RgxYoTGNi9+fhJR6TIyMuJWeESkM0VK8C0tLWFubg5ra2vs378f3bt3l+pe1zX3q1evRnh4uHR/4sSJ6N+/P/r37489e/YgICAAa9eufWUdVSxCCMTGxkpJ/YvbyahUKvz3339qSX2PHj0wb9489O7dG5aWlvoKm4hIr4yNjTFixAjk5OQgPj5ebUq+SqXChg0bsH79ev0FSERUDCqVCufPn8fjx4/h5OSEdu3awdDQUN9hEelFsaboR0RE4JtvvsGdO3cwYMAADBo0COPHj8eOHTtKM0ZcuHABoaGhWLx4MXbt2oUGDRqgbt26SE5OhpmZGRISEuDq6oq4uDikpaUVWFeUhI5T9so+IQQeP34sJfXJyclSnVKplJL6//77D0II9OjRA4MGDULv3r35NyWicqk0+qYdO3Zg1qxZSE1NVSsXQkAmk0GlUunkPGUV+3uiiuHYsWOYNm0aoqKipDIXFxds2LABAwYM0GNkRMXzWqfo56lVqxaWLl0KlUqF48ePY9SoUbh16xbu37+PevXqAQAuXryI1q1bax3Qy9LT03H06FGsXbsWixcvBgAEBQXBzs4OZmZmAAB7e3uYmJggODgYcXFxBdZ16dIl3/GzsrKQlZUl3X/5iw6VDUIIxMTESEn906dPpTqlUonQ0FApqQcAX19fzJs3D35+fvziRkSkwcyZMzFgwAD4+/vDwsJCKhdCYPv27XqMjIioaI4dOwZ/f3+8PF4ZHR0Nf39/HDlyhEk+VTpareBhaGgoTYEPCwvDtm3bcO/ePXh7e+PHH3/EuXPndBbgqlWrMG/ePLWy6Oho2NjYqJVZWloiJiYGsbGxBdZpsmLFCumHAypbhBCIjo6WkvqUlBSpTqlU4t69e7hz5440Ut+9e3fMnTsXffr0gZWVlR4jJyIq++rUqYOVK1dq3BrUzc3t9QdERFQMKpUK06ZNy5fcA/83E2n69Ono27cvp+tTpVLiJTpr166N5cuXIzs7G7t370ZISIgu4gIA/Prrr2jVqlW+Lx8ymUwaoc+jUChgbGxcaJ0mAQEBmDlzpnQ/NTUVNWvW1NEzoOISQiAqKkpK6l+cUaFUKnH37l0pqQeAbt26Yc6cOejTpw+qVaump6iJiMqfbdu24ejRo5g4cWK+uuDgYJ0k+UVd9Pb48eM4ffo0srKy4O/vDx8fH7Vj1KxZU7oc69ixY+jfv/8rH0dEFdv58+fVpuW/TAiByMhInD9/Hh07dnx9gRHpmc724DA2NsaYMWPUpvmV1Oeff45r165J91NTU9G7d2/Mnz9fbTQXyJ3K7+zsjJycnALrNDE1NeUK+3qW9wF8584dhISEqCX12dnZUlJ///59CCHUknpra2s9Rk5EVH598sknCA0NxaFDh2BgYCCV5+Tk4J9//sGgQYNKfI6iLHp79+5dLFu2DFeuXIEQAi1atMBPP/2EGjVqAMhdK+Drr7+WPu87depUpMcRUcX2+PFjtfsGBgbw8vKCtbU1kpOTERwcjJycnHztiCq6Yi2y97rFxsbi+fPn0v22bdtizZo1aN++PRo0aICkpCSYmJggJiYG9evXx5MnT5CUlFRg3csj+5pw0Z3XQwiBiIgIKalPS0uT6rKzsxESEiIl9QDg4+ODQYMGoW/fvvkuwSAiquhKo28aNWoU7t+/j9q1a6sl+NnZ2QgKCip0ZKwoYmJiirTo7YQJE+Dg4IAlS5YAACZPngxra2ssW7YMKpUKPXv2xMaNG+Hu7q52/MIeVxTs74nKt9OnT0uzdnx8fNC6det8P1ZevHgR8+bN07gOF1FZo5dF9l43R0dHtftGRkZwdHSEs7MzfH19cfbsWXTt2hUnT57EpEmTYGZmVmgd6VdOTo5aUp+eni7VZWdnS9PyHzx4ACEEfHx88NFHH6Ffv35M6omIdGzKlClwcHCAi4tLvrrTp0+X+PiFLYj74pftM2fOYO7cudL9+vXr4+jRowCAkydP4sKFC2jYsCG6deuGvXv3SpftFfY4TbioLlHF5OPjgzZt2uQrl8lkaNOmDcLCwvQQFZH+lOkEvzBbtmzBvHnzcOXKFSQlJWHlypVFqqPXLyYmBn///Tfu3r2bL6m/ffu2lNQDQJcuXaSk3tbWVl8hExFVeM2bNy+wThejXYUtiFtYuxfb9OjRA2lpaTh//jwmTZoEPz8/XLp0CQYGBoU+ThMuqktUscTHx8PAwEDavUsmk6nVy2QyacFmpVIJI6Nym/YQFUu5eqeHh4dL/29nZ4dt27ZpbFdYHb1emZmZ2LZtm7TCqUKhkJL6hw8fAgA6d+6M2bNno3///rCzs9NnuERElUZ6ejpmzpyJzMxM7Nu3D0+ePMG2bdvQvHlzdO3atcTHL+qity+3e7mNTCZD+/btERgYiIYNG+Ly5cto3br1Kx/3Mi6qS1SxODk5wcvLS21a/svykv5r167h7bfffl2hEelVuUrwqfzJm26vVCrx7bffIiwsDEIIdOrUSUrq7e3t9R0mEVGl8+GHH+LEiRPw9vYGANja2mLu3LkYOHAgYmNjMWzYsBId39nZuUiL3r7cLi0tTePCuPb29hg0aBAiIyOL9bg8XFSXqGJp165dkX+kS0pKKuVoiMqOgn/yItKBvOs4lUolatWqhS+//BKPHz/GH3/8gXHjxjG5JyLSk7///hv37t3Dm2++qVberVs3LFq0qMTH79ixI6KioqBQKABAmj7v5eWl1q5Lly4IDQ2V7t+/f19aKf9lRkZGaNasWbEfR0QVj6GhYZEvJ+JaTlSZMMGnUqVSqQDkbqN4+vRpjB8/XlogiYiI9Kd169aoVq1avvLz588jISGhxMd/cdFbAGqL3q5Zswb37t0DkLsa/h9//AEg98fg4OBgjB07FgDw448/IiQkBABw7949yOVyaTX9wh5HRJXD6NGjAQCFbQomk8nQokWL1xUSkd5xij4REVEl5ODggMePH0vXqD59+hTLly/HgQMHSjw9P09Bi94ePHgQbm5ucHd3h6enJ0aOHInZs2dDoVBg3bp10i46wcHBGDZsGNq3b49OnTph6dKl0rELexwRVQ5GRkZo3bo1Ll68WGAbb29vLrBHlYpMFPaTVyXEfXF16/PPP0d6ejpUKpW0VzERERVPafRNz58/x5w5c/Djjz/CwsIC4eHheP78Ofr374+dO3dW+D6Q/T1RxXHq1ClcunRJbSRfJpPB29tbJ4uGEr0OuuqX+HMWERFRJWRmZoaNGzfio48+wq1bt5CVlYVGjRqhQYMGiI2NZdJLROVG165d0alTJ1y7dg1JSUmwsbFBixYtOHJPlRLf9URERJVAREREgXWNGzeW/j8sLAwbNmzA+vXrX0NURES6YWRkxK3wiMAEn4iIqFLo0KFDoUl+HiEEZDIZE3wiokpIqVRyJkQ5x78WERFRJTBlyhSoVCq0bNkSBgYFb6KjVCqxbdu21xgZERGVBZrWMjh58iTXMihnmOATERFVAmPGjEFWVlaRtipt2LDha4iIiIjKilOnTmncjUAIIZUzyS8fCv4Jn4iIiCoMKyurIiX3N2/e5HZzRESViFKpxKVLlwptc+nSJSiVytcUEZUEE3wiIqJKKiMjA1FRUYiIiFC7jRo1St+hERHRa3Lt2jW8aud0IQSuXbv2miKikuAUfSIiokroiy++wPTp0zV+qbOxsdFDREREpA9JSUk6bUf6xQSfSoVKpcI333yDa9eu8VpOIqIyaOfOndiyZQvs7Oxw+vRp+Pv7QwiBXbt2ISAgQN/hERHRa1LUH3X542/5wCn6pHNXrlxB3759cf/+fTRs2BBCCHh4eOg7LCIiekH37t0xZswY9OvXDxYWFujQoQM6duyIWbNmYcmSJfoOj4iIXpMWLVpAJpMV2kYmk6FFixavKSIqCSb4pDMJCQkYN24cVq9ejZYtW8LS0hIGBgYYMWIE/P399R0eERG94NGjRzh9+jSSk5PRu3dvBAQE4Pnz57hw4QJOnDih7/CIiOg1MTIygre3d6FtvL29YWTEyd/lAf9KVGJKpRJff/01du7ciU6dOqFGjRoQQqBZs2bo1asXjI2N9R0iERG9ZOTIkejbty/ee+89fP311zh06BDMzc0hk8nQu3dvfYdHRESvUd4WeJcuXVJbm0Umk8Hb25tb5JUjTPCpRC5cuIAZM2bA1dUVfn5+AAALCwsMHjwYLi4ueo6OiIgK8vbbbyMxMVH6EXbTpk0YPHgwnj59iu7du+s5OiIiet06d+4MQ0NDhISEwMTEBI0aNUKrVq04cl/O8K9FWomNjcXcuXNx7do19OrVCxYWFgCA1q1bo1OnTvwgICIq48aOHYutW7fCzMxMKmvTpo0eIyIiIn05duwYPvzwQ0RHR0tlNWrUwMaNGzFgwAA9RkbFxWvwqViys7Oxfv16NGvWDM+ePcOgQYNgYWEBGxsbjB07Fl27dmVyT0RUTsyfPx8zZsxAcHCwvkMhIiI9OXbsGAYOHKiW3ANAdHQ0Bg4ciGPHjukpMtKGTGjaALcSS01NhZWVFVJSUiCXy/UdTpkSFBSEqVOnAgB69uwpXavZrl07tGvXjok9EVEpKY2+6cmTJ7C1tUVGRgYOHjyIK1euoFmzZnj//fdhZWWlk3OUZezviYhyt7auXr06njx5UmAbW1tbxMXFwdDQ8DVGVvnoql/iCD69UnR0NIYMGQI/Pz80btwY/v7+MDc3R/Xq1TF27FhOySciKodsbW0B5K6bMmbMGCxYsABnzpyBs7MzxowZo+foiIjodQgKCio0uQdyfxAOCgp6PQFRiTHBpwIpFAqsXr0a7u7uuHPnDiZPnow33ngDBgYG6NChA8aOHQsnJyd9h0lERFq4dOkSAODXX39F3759UadOHVy5cgUfffQRFi9erOfoiIjodShq4s4Ev/zgsCtpdOrUKUydOhUxMTHo06cP3N3dAQCOjo7o27cvHB0d9RwhERGVRP/+/WFgYIC4uDj4+Pjg8OHD6NOnD6dgEhERlWMcwSc1ERER8Pf3R7du3WBmZoYpU6bA3d0dBgYG6NSpE8aMGcPknoioAkhNTcWQIUMQGhqK33//Hf3792dyT0RUyXTs2FGn7Uj/OIJPkpMnT6Jfv34wNjbGe++9h/r16wMAnJ2d0bdvXzg4OOg5QiIi0pWNGzfyWnsiokquY8eOsLW1feUie0zwyw8m+CT56aef4O7ujl69esHY2BiGhobo2LEjWrduDQMDTvYgIqpICkvuk5OTYW1t/RqjISIifTA0NMTWrVsxcODAAtts3bqVM7zKEWZtJDEyMpJG8GvUqIHx48ejbdu2TO6JiCqAmJgYZGRkSPcjIiI03sLCwrBkyRI9RkpERK/TgAEDcPToUbi4uKiVu7i44OjRoxgwYICeIiNtcASfJDKZDAAghMCoUaOY2BMRVSAeHh7o06cPduzYAQDo0KEDIiIi8rUTQkAmk2HdunWvO0QiItKTAQMGoG/fvjh//jweP378/9q777CozvR//O9BqsqAIohYQF0Fs4oFIYmxoGIs3yQuLkaNJUHBgkGJUQKxC9H4sXcNrLpi1LUkLkaNHdysiWDBgklAEGl2kCJlYHh+f/hj1pEBBxjKDO/XdXGZ85xnzrnPnQPPuec0tGrVCv369eOZey3EAp9UYnFPRKRbfv75Z6WHpM6cORNFRUVwcXGBvv7/DgeKi4sRGhpaFyESEVEdKr09l7RbvS/wf/jhB3z55ZfIzs7GhAkTsGbNGujr6+PFixfw9/dHs2bNkJubi5UrV8LIyAgAKpxHRETUEPXu3Vtp2svLC0VFRbC0tFRqz8vLUzxklYiIiLRLvT5Nm5ycjKNHj+Lw4cPYsGED/vGPf2D9+vUAgBkzZsDNzQ3BwcHo1asXAgMDFZ+raB4REREB5ubmZYp7AIiOjsbFixfrICIiIiKqLokQQtR1EOX5z3/+g3fffVdx6eBXX32F27dvIyQkBB07dkRmZiaMjY3x5MkT2Nra4tGjR8jJySl3nqmp6RvXmZ2dDTMzM2RlZUEqldb0JtYrc+bMgZmZGYQQWLJkSV2HQ0RE/7+aGJv09PQUz155nbOzM3777TeNrKe+asjjPRER1T+aGpfq9SX6/fr1U5q2sbFBdnY2IiIi0KJFCxgbGwMALC0tYWhoiKioKDx69KjceYMHDy6zjsLCQhQWFiqms7Oza3CLiIiI6gc3NzeMGzdO6ZkrcrkcR48ehYeHh0bWoe4tc+Hh4Th37hwKCwvh4eEBNzc3AEBWVha8vLxw6tQpdOzYEdu2bcM777yjtPy2bdsiMzMTwMvb+tzd3TUSOxERkTaq1wX+66Kjo+Hv749Tp06hefPmSvNMTU2Rnp6Ohw8fljtPlRUrVmDp0qU1FjMREVF9tGbNGnTr1q1Me/PmzXHv3j2NrGPGjBlwd3eHu7s79uzZg8DAQKxdu1apzx9//IHg4GBcvnwZQgj07t0bx44dQ+vWrbFy5UqMGjUKAQEBWLp0KUaOHInExEQ0adIEALBz507s2LEDzZo1AwAMHDhQI3ETERFpq3p9D/6r4uPj0bJlSzg6OkIikSjO0JeSyWQwMDCocJ4qgYGByMrKUvykpKTU2DYQERHVF6qKewBo164dgoODq7389PR0HDp0CMOHDwcADB8+HNu3b0dOTo5Sv/Xr12PYsGGQSCTQ09PDu+++i23btgH431UGTk5O2Lt3LzIzM3Hnzh0AL682+Omnn+Do6Ag3Nze4ublV+DqnwsJCZGdnK/0QERHpGq04g19cXIzvvvsOK1asAPDyUv2srCylPrm5ubCxsUFJSUm581QxMjJq8E/Yl8vl2Lt3Ly5duqQ4ECMiIt02efLkMm35+fm4ePFiuWNmZVR0O92rt8ydP38eX331lWK6U6dOOHLkCABg0KBBinapVAqpVIo2bdoAAE6fPo3//ve/cHBwwPvvv4+wsDBYWVmVGw+v2CMiooZAK87gr1q1CvPmzYOhoSEAwNXVFampqZDJZACguPzexcWlwnmkrKSkBIcPH0a3bt3g5eWFpk2bAgDMzMzqODIiIqpphw4dQkJCAu7du6f4ycjIwMiRI3Hs2LFqLz8tLU2tW+Ze71febXVxcXFwdXVFq1atALy8IiAnJweRkZFIS0vDhx9+iJKSknLj4RV7RETUENT7M/jBwcFwcXFBXl4eEhMTERERgf79+2PYsGGIjIzEkCFDcPr0afj4+MDY2Bg2NjblzqOXhBA4efIkFixYgFu3bsHJyQl+fn6KAr9t27Z1HCEREdW09evXY8qUKWr1TU9Pr/RZfXVvmXu9X3m31W3ZsgWrVq0q89n+/fvjwoULcHBwwG+//YY+ffqojIdX7BERUUNQrwv8oKAgLFq0SKnNwcEBkydPxvbt2xEQEIDLly8jIyMD3377raJPRfMausjISMyfPx9RUVFlCnupVIq+ffuiZ8+edRwlERHVNDc3NyQnJ7+xn1wux8aNG7Fu3bpKLb+i2+kq6peTk1Omz6lTpzBo0CC0b99e5bosLS3x8ccf86w8ERE1ePW6wF+4cCEWLlyocl6LFi0QGhpa6XkNVXR0NObPn4+IiAg4OzvDz89P8RRiMzMz9O3bFz169IC+fr3eJYiISEPGjBmD6OjoN/YTQkAikVS6wHd1dcXUqVMhk8lgaGhY7i1zgwcPRlxcnGL67t27Sk/Dj42NRXJyMry9vStcn76+Pnr06FGpGImIiHQNqzkdd+vWLSxcuBAnT56Ei4uLUmFvbm6Ofv36oXv37hU+eZiIiHSPra0txo8fj27dukEikQB4WcyHhITgs88+Uzz3pqioSPFU+8qo6Ja51atX48MPP4S9vT2mT58OX19fLFq0CMXFxYiKisKyZcsAAAkJCQgJCYGfnx+SkpKQlZWFS5cuYcaMGfj3v/+Nzp07o0uXLvjzzz8hlUphb2+vuQQRERFpIRb4Ouru3btYvHgxjhw5oijsGzduDABo1qwZ+vXrB0dHRxb2REQNlEQiga+vb5n2oqIiHD16FFu2bFG02draVmkd5d0yt3//ftjZ2cHe3h7du3eHp6cn5s6dC5lMhnXr1sHa2hoPHjxQPDh3w4YNimUeOHAAABAVFYWJEyeif//+GDhwIIKCgqoUIxERkS6RCCFEXQdRn2RnZ8PMzAxZWVmQSqV1HU6lpaSkYNmyZdi3bx+cnZ3xzjvvwMTEBABgYWGBfv36oVu3btDT04oXKBAREWpmbPL09MSuXbvKtO/fvx/Tp08vc/+8rtH28Z6IiHSLpsYlVnk64tGjR5g9eza6du2Ku3fvYtasWRg4cCBMTEzQokULjBo1Cj4+PujevTuLeyIigoODAxYtWoT8/HxF24ULF+Dv748uXbrUYWRERERUVbxEX8tlZmZi1apV2LFjB3r06IGZM2cqXgNkaWmJ/v3746233mJRT0RESvz9/TFz5kyYmprCysoKWVlZyM/Ph42NDUJCQuo6PCIiIqoCFvhaKi8vD+vWrcPmzZvRtWtXTJs2TVHYW1lZYcCAAejSpYviwUlERESvkkgk2Lp1K3x9fXH+/Hm8ePECHTp0wP/7f/9PcWsXERERaRcW+Fpq9uzZSEpKwuTJkxVPOra2tkb//v3h4ODAwp6IiNTSpUsXxSX5YWFhOHfuHIYOHQoDA4M6joyIiIgqi9dta6nCwkL07dsXhoaGaNWqFcaOHYupU6fyrD0REanUoUMHTJgwASdOnCi3z8SJE3H79m1YWlrWYmRERESkKSzwtVTpPfUmJibw9vaGvb09C3siIipX8+bNERYWhhEjRgAAli5dio4dO2LMmDHYuXOnol9AQADfJ09ERKSleIm+lpNIJCzsiYjojV7/Injx4sU4e/Ys9u3bh0aNGpXpS0RERNqHZ/CJiIgagNeLeADo2rWrynZ9fX7/T0REpI1Y4BMRETVQvAKMiIhIt/AreiIiogYgISEBu3btghBC0fbHH38o3X8PAEVFRYiMjKzt8IiIiEgDWOBrGSEEIiIiUFRUVNehEBGRFvn111/x66+/lmmPiIgo08Yz+0RERNqJBb6WuH//Pvbv34+kpCRYWVmhc+fOAACpVFrHkRERkTaYNGkSAgICYGJiUmG/goICzJ8/v5aiIiIiIk1igV+PPX/+HEePHsWdO3dgYmICPT09tGrVCgAgk8nQpUsXjBo1qo6jJCIibTBt2jQ4ODio1XfOnDk1HA0RERHVBBb49UxGRgZ+/fVXXLlyRdHWpEkTAC8L/rZt22LUqFGws7OrowiJiEgbvfvuu2r37dOnTw1GQkRERDWFBX4dE0LgyZMnuH37NqKjo1FQUKA0Lz09Hebm5nB3d6/UwRkRERERERE1LCzw64AQAg8ePMCdO3dw8+ZN5OTkKOaVlJTg3r17kMvlGDp0KL766qs33i9JRERERERExAK/lpSUlCA1NRV37tzB77//juzsbMW84uJiJCQkIC0tDX369MHChQvRqVOnOoyWiIiIiIiItA0L/FqQkpKCgwcPIjc3V9Emk8kQHx+PP/74A3Z2dpgyZQpGjBgBAwODOoyUiIiIiIiItBUL/Frw888/Izc3FwUFBfjzzz/x+++/o6ioCJ999hnWrl2LNm3a1HWIREREREREpOVY4NeCiIgIdO7cGdeuXYO5uTk2bdqEQYMGQU9Pr65DIyIiIiIiIh3BAr+GyWQyGBsbAwBGjx4NLy+vOo6IiIiIiIiIdBEL/BoghEBycjJiYmIQGxuLdu3aAYCi0CciIiIiIiLSNBb4GpSVlYUbN24gJiYGmZmZivZnz54hJiYGf/vb3+ouOCIiIiIiItJpLPA1ICEhAZcuXUJiYqKirbCwELGxsYiJiUH79u0xd+5cdO/evQ6jJCIiIiIiIl3GAr+ahBDYv38/5HI5AODevXuIiYlBSkoKxo8fjxUrVuCtt96q4yiJiIiIiIhI17HAr6bIyEhFcb9t2za0atUKM2fOxLhx49C0adM6jo6IiIiIiIgaChb4VVBUVITY2FhER0cjPT0dAFBcXIwjR46gT58+kEgkdRwhERERERERNTQ6W+C/ePEC/v7+aNasGXJzc7Fy5UoYGRlVe7l5eXnYtGkTCgoKAAByuRx37twBAAQFBVV7+URERLpC3bE4PDwc586dQ2FhITw8PODm5lbteURERA2Rzhb4M2bMgLu7O9zd3bFnzx4EBgZi7dq1VVqWXC5Heno6EhIScOHCBejp6QEAzp49i9TUVIwaNQpz5szRZPhERERaT52x+I8//kBwcDAuX74MIQR69+6NY8eOoXXr1lWeR0RE1FBJhBCiroPQtPT0dHTs2BGZmZkwNjbGkydPYGtri0ePHsHU1LTCz2ZnZ8PMzAzr169HUVERnj59ChMTkzL9bt68CU9PTwwdOhQGBgY1tSlERESKsSkrKwtSqbSuw1GLumPx9OnTYWVlhWXLlgEAZs6ciWbNmiE4OLjK89ShjTklIiLdpalxSSfP4EdERKBFixYwNjYGAFhaWsLQ0BBRUVEYPHiwUt/CwkIUFhYqprOysgAA9+/fh5GRESQSieJy/Li4ODx79gxmZmZYsGAB7O3tkZ+fj/z8/FraMiIiaoiys7MBvHxzi7ZQdyw+f/48vvrqK8V0p06dcOTIkWrNU6W88b40t0RERHVJU2O9Thb4aWlpaN68uVKbqamp4oF4r1qxYgWWLl1apn3dunUVriM8PLx6QRIREVVS6ZfM2kDdsfj1fq/2qeo8Vcob79u2bVuJrSIiIqpZ1R3rdbLAl0gkijMGpWQymcpL6QMDA5Xun3/+/DlsbW2RnJysNQdR9V12djbatm2LlJQUXgapAcyn5jGnmsecalZWVhbatWtXpmCuz9Qdi1/v92qfqs5TheN9zeLvvOYxp5rFfGoec6pZmhrrdbLAt7GxUVx6Vyo3Nxc2NjZl+hoZGal8oq+ZmRl3VA2TSqXMqQYxn5rHnGoec6pZpQ951QbqjsWv98vJyVH0qeo8VTje1w7+zmsec6pZzKfmMaeaVd2xXnuOFCrB1dUVqampkMlkAKC4ZM/FxaUuwyIiImow1B2LBw8ejLi4OMX03bt3MXDgwGrNIyIiaqh0ssC3sbHBsGHDEBkZCQA4ffo0fHx8ylwqSERERDWjorF49erV+PPPPwG8fIr+2bNnAQDFxcWIioqCt7d3teYRERE1VDp5iT4AbN++HQEBAbh8+TIyMjLw7bffqvU5IyMjLF68WOVlfFQ1zKlmMZ+ax5xqHnOqWdqaz/LG4v3798POzg729vbo3r07PD09MXfuXMhkMqxbtw7W1tYAUOV56tDWnNZXzKfmMaeaxXxqHnOqWZrKp0Ro0zt3iIiIiIiIiEglnbxEn4iIiIiIiKihYYFPREREREREpANY4BMRERERERHpABb4RERERERERDpAZ5+i/yYvXryAv78/mjVrhtzcXKxcuVLlEwvDw8Nx7tw5FBYWwsPDA25ubnUQrXZQJ6dZWVnw8vLCqVOn0LFjR2zbtg3vvPNOHUVcv6m7j5Y6cOAAtm/fjoiIiNoLUstUJqd5eXnYsWMHLCws0LlzZ+6nKqibz+XLl6OkpAR6enrIy8tDUFAQJBJJHUSsHU6ePInFixfj4MGDsLOzU9mHY1P1VPbvK6mmal9lbqvmhx9+wJdffons7GxMmDABa9asgb6+PvNZDZcuXYKXlxfS09Px6aefYsOGDQC4j1aXTCaDs7MzNmzYAFdXV+azmr755hssWLAAAODo6IgbN25UP6eigZo4caL44YcfhBBC/POf/xRffPFFmT6///67cHZ2FiUlJUIul4uePXuK1NTU2g5Va6iT08DAQLFv3z5x5coV8eGHHworKyuRm5tb26FqBXXyWSotLU107dpVDBgwoJai007q5vTZs2dixIgRIjExsTbD0zrq5PPYsWPCy8tLMe3p6SkOHDhQazFqm0ePHonw8HABQNy7d09lH45N1VeZv6+kWnn7KnNbeffv3xcTJ04UV65cEWFhYaJJkyZi1apVQgjms6pycnLEN998IzIyMsRPP/0k9PX1xZkzZ4QQzGl1BQUFCalUKi5cuCCEYD6ro6CgQEybNk2cOXNGnDlzRsTFxQkhqp/TBlngp6WlCWNjY5Gfny+EEOLx48fCxMREZGdnK/WbNm2aWLhwoWLax8dHzJ8/v1Zj1Rbq5vTcuXOK/87KyhIGBgYiKiqqVmPVBurms5Svr6/YsmULC/wKVCanQ4YMUQxcpJq6+fy///s/MWbMGMW0j4+P2LFjR63Gqm3kcnmFBT7Hpuqp7N9XKt/r+ypzWzUXL14URUVFiml/f38xYsQI5rMa8vPzRUlJiWLayclJnD9/njmtpl9++UXs3LlT2NraigsXLjCf1RQSEiK+/fZb8eLFC0WbJnLaIO/Bj4iIQIsWLWBsbAwAsLS0hKGhIaKiopT6nT9/Hra2torpTp06ITIyslZj1Rbq5nTQoEGK/5ZKpZBKpWjTpk2txqoN1M0nAISEhGDChAlo3LhxbYepVdTN6U8//YT4+HhERUVhxIgRCAwMRFFRUV2EXK+pm8+PPvoI4eHhOHz4MDIzM/H06VNMnDixLkLWGnp6FQ/NHJuqpzJ/X6lir++rzG3V9OvXD/r6/7tr1sbGBu3atWM+q8HY2FhxK9iLFy/g4OAAV1dX5rQacnNzceTIEXh6eiramM/q2bt3L77++mtYW1tj7969ADST0wZZ4KelpaF58+ZKbaampkhPT6+wn6o+9JK6OX1VXFwcXF1d0apVq5oOT+uom8+7d+8iOzsbLi4utRmeVlI3p99//z3efvtt+Pn5ISwsDN9//z0WLlxYm6FqBXXzaW9vj3379mHSpEn45JNPsGvXLpiYmNRmqDqHY1P1VGW8IvUwt5oRHR2NGTNmMJ8acPbsWbz//vsoKipCXl4ec1oNK1euREBAgFIb81k9ERERePz4MWbPno1Jkybh+PHjGslpgyzwJRKJ4luRUjKZDAYGBhX2U9WHXlI3p6/asmULVq1aVdOhaSV18imXy7F161b4+fnVcnTaSd19NDY2Fn379oWhoSEsLCzg7e2NPXv21GaoWqEyv/MFBQUIDw9HQkICxo0bh+Li4toKUydxbKqeqoxXpB7mtvri4+PRsmVLODo6Mp8a0LVrV3h5eeHcuXOYN28ec1pFJ0+exNtvvw0rKyulduaz+iwsLBAUFIQFCxZgw4YNGslpgyzwbWxskJWVpdSWm5sLGxubCvvl5OSU6UMvqZvTUqdOncKgQYPQvn372ghP66iTz0uXLmH79u2wsLCAubk5fHx88Msvv8Dc3LyWo9UO6u6jxcXFkMvlimlHR0dkZGTUSozaRN18RkRE4MqVK3Bzc0NERASuX7+OtWvX1maoOodjU/VUdrwi9TG31VNcXIzvvvsOK1asAMB8aoK1tTU8PT2xZs0aREZGMqdVtGbNGkyYMAHm5uYwNzdHcnIyPvjgA8hkMuZTQ2bOnImUlBSN7KMNssB3dXVFamoqZDIZACgueXj9MufBgwcjLi5OMX337l0MHDiw9gLVIurmFHh5hjQ5ORkjR46s1Ri1iTr5dHZ2xp07dxATE4OYmBgsW7YMvXv3RkxMTF2EXO+pu486OjoiPj5eMa2vrw8HB4faC1RLqJvPw4cPo1OnTgBeHqwGBwfj4sWLtRusjuHYVD2VGa+ocpjb6lm1ahXmzZsHQ0NDAMynJvXq1QutW7dmTqto7969iuPNmJgY2NjYIDQ0FJ999hnzqSF6enro1auXRvbRBlng29jYYNiwYYqHEp0+fRo+Pj4wNjbG6tWr8eeffwIApk+fjrNnzwJ4+a1qVFQUvL296yzu+kzdnCYkJCAkJARDhgxBUlISbty4gW3bttVl6PWSOvk0NjaGnZ2d4qf0gRzlvTe7oVN3H509ezaOHz+OwsJCAC+vlPD19a2zuOsrdfPZo0cPXL9+XfE5iUTCgf8NhBBK/wLg2KRBFe27VDmv76vMbdUFBwfDyckJeXl5SExMxM6dO5GXl8d8VlFBQQGuXr2qmD558iRmzZrFfbSKrK2tlY459fX1YW1tzXxWw9OnT7F7927I5XIIIbB69WoEBwdrJKcS8eoRRAPy9OlTBAQEwM7ODhkZGfj2229haGgIJycnBAYGwsPDAwCwa9cuxMbGQiaTwd3dnWdJKvCmnL733ntwcXFBamqq0ucOHDiAMWPG1FHU9Ze6+2ip3bt3Y/fu3YiIiKibgLWAujndu3cvLl68CHt7e+Tl5fEhe+VQJ58lJSVYsmQJGjdujBYtWiAlJQVff/01jIyM6jr8eik3NxdhYWHw8fHB4sWL8fnnn6NFixYcmzSsvH2X1FfevsrcVl5QUBAWLVqk1Obg4IDff/+d+ayiGzdu4P3330fHjh3Rp08f9O7dG2PHjgXA339NsLOzw+7du+Hq6sp8VtG9e/fg5uaGRo0aoV+/fpgzZw7++te/Aqj+PtpgC3wiIiIiIiIiXdIgL9EnIiIiIiIi0jUs8ImIiIiIiIh0AAt8IiIiIiIiIh3AAp+IiIiIiIhIB7DAJyIiIiIiItIBLPCJiIiIiIiIdAALfCIiIiIiIiIdwAKfiIiIiIiISAewwCciIiIiIiLSASzwiYiIiIiIiHQAC3wiarCEEHUdAhERabGff/4ZgwcPhkQiwYABA/DTTz8pzT906BB69eoFe3t7/Otf/3rj8p4/f47Vq1fDzs4OSUlJAIDo6GhYWFggNTW1TP8tW7Zg9uzZ6NChA6ZOnYqioqJyl33p0iWMGzcOEokEVlZWGDx4MDw8PODs7Ixhw4bh+++/r9zGV9Hr21PZbSaiirHAJ9Ii2nQgURtSUlKwZs0aFBcXV+nzp0+fxvHjxzUcFRERNRTDhg2Dn58fAGDOnDn44IMPlOaPHj0aU6ZMga+vL8aMGfPG5RUWFkIul+P+/fuKNmtra3z44YcwMzNT6rt7925ER0djw4YNOHjwIMLDw5GSkoJbt26pXHafPn2wYMECAMDy5ctx7tw5HD58GJcvX8bQoUMxadIkfPzxxxr/8vv1eF7fnspsc3nbRkT/wwKfSIto04FETUtKSsKyZcvwxRdfQF9fv0rLGDp0KNLS0rBr1y4NR0dERA2FqakpAKBJkyYq5zdp0gRNmzZVa1ktW7aEs7OzUlvbtm2xe/duxXpK7d69G23btgUA9O7dGw8fPoSFhQWCg4PLXb6qGPX09PDFF1/gm2++waFDh7BmzRq1YlVHVlZWmXhe3x51t1nVsoioLBb4RFpGmw4kaopcLsf48eMxf/586OlV78/Y1KlTsW/fPsTExGgmOCIiompQd1xLTU1Fo0aNFNMymQzjx4/Ho0ePqrTeOXPmwNLSEmvXroVcLq/SMl5VmXjetM3V3baKtG/fHp9++mmZ9kGDBmHAgAEaXx9RTWOBT9TA1faBxNy5c2FlZaXU9uWXX0IikWD16tWKtocPH8LIyAjbt28vs4w9e/bAzMwMdnZ2lVp3eaZPn4558+ZpZFlERETl+c9//oOxY8di6tSpOHjwIFq3bo22bdviH//4h8r+mZmZWLVqldKtdFevXoWXlxcePXqE8PBweHl54ZdffsH333+P+Ph4xMXFYfr06WVu43sTQ0NDDBo0CA8ePMC1a9cghEBoaCiaNm2Kzz77DABw8+ZNDBkyBBKJRPG54uJiLFiwAJ9//jlGjBiBjz/+GJmZmSrjUbU96mzz68sKCgqCRCKBnZ0dLl++DADIzs7G6NGjMWDAADx+/FitbX727BmSkpLQu3dvpXYhBK5duwYnJ6dK5ZCoPmCBT6TD6uOBRPPmzZGdna20zu+++w5SqRQZGRmK9s2bN8Pc3FxxUPGqzZs3Y/DgwUptV69ehaenJ4YPH45bt26hX79+MDU1xfz58yGTyeDr6wtTU1M4Ojoq3ZIAAK6urjh79ixiY2PV2gYiIqKqaNasGX777Tdcv34dDx8+RHh4ONq3bw9vb2/cuHGjTP+ioiIUFRUpjVtOTk4IDQ2FhYUFPvroI4SGhqJv377w9PTEu+++i86dO2P79u1lbuNTh62tLQAgOTkZEokEXl5e6NWrl2K+o6Mjxo0bp/SZadOmwdDQEJs3b8ahQ4dw/PhxLFq0SGU8qrZHnW1+fVkLFy6Eh4cHpFIp3n77bQCAVCqFpaUltm7dWuZEQnmuXLkCAGUK/Pj4eGRlZbHAJ63EAp9Ih9XHA4lmzZqhsLAQMpkMALBp0ybY2tpi6NChigI/Pz8f27dvh6+vL4yNjZU+X3pm4a233lJql0qluH37NhISEhAVFYXDhw/j888/x/Lly7Fo0SJMmjQJt27dQmZmJlauXKn0WQsLCzRv3hwnTpxQaxuIiIhKvXo2+019unbtCltbW3To0AGzZs2Ck5MTQkJCIJFIVH75bmVlBRcXF43H/KY4X33Q3utX+r06fe/ePezatQuTJ08G8PI2wbCwMEycOFHl8tXZHnW3OSAgALdu3cJvv/0GAIrjl7/+9a9v/Gyp6Oho6Ovro0ePHkrtV69eBQAW+KSVWOATaRltP5Bo1qwZgJeX0uXl5WHTpk3w9/eHubk5MjMzAby837+goAA+Pj5lPn/z5k0ALx8G+KpOnTrB3t4eNjY2mDJlClq2bIlJkyYBePlwQmdnZ9jZ2aFv376Ij48vs9w2bdrg+vXrGt1WIiLSfaW3r5X3ZpmioiKlL6slEglMTEwU0/b29mjTpg0SEhJUfr6qD5KtiuTkZABAhw4d1OofHR0NIQQsLCwUbaNGjarwWEKd7VGnj5OTE9577z2sW7cOAHDixAmMGDFCjaj/58qVK3jrrbeU/n+Utjdt2hSdO3dWtBkYGCAnJwcAMG/ePFhaWirmffDBBzh48GCl1k1UU1jgE2kZbT+QaN68OYCXBX5ISAgaN26MTz75BObm5sjIyIAQAuvXr4e3t7ei76uePXsGQPVDBl+P/fUBGwCMjIxU5q5JkyZq37NHRERUqvSL61dvM3vVkydPlApgVaysrGBkZKTx2CqjuLgYFy5cQOvWrdG9e3e1PlN6vBEXF6fU/uqteDXJz88PR44cQXJyMg4cOFDm9oE3uXLlitItCKUiIiLQs2dPpasVpFIpcnJykJ+fj6NHj8LAwADAy1f23rhxA+7u7tXbGCINYYFPpGW0/UDi1fjXrl2LL7/8Evr6+jAzM0NGRgaOHTuGxMREfPHFFyo/X1q0l17irykSiUTpIYJERETq+Mtf/gIzMzPFZd2vi4yMRM+ePZXaXn9K/YMHD/Dee+9VOxZ1rvIrz9atW/Hw4UMsXLhQaTw0NDREfn6+YrqkpETxb+nl8Nu2bVPMF0IgLCys2vG8TtWy3N3d0bp1ayxZsgSNGjVSeWKgPA8fPkRaWlqZkwORkZEqH7Bnbm6O3Nxc7Nu3DyNHjoSZmRny8vIQEhKCKVOmKAp+orrGAp9Iy2j7gURpgb9t2za8ePECXl5eAKC4RH/t2rUYO3Ys2rVrp/LzrVu3BvDyfbialJOTo3gNIBERkbqMjIywZMkShIaG4tKlS4r2goICfP311+jdu3eZL95jY2MV97lHRESgpKQEU6ZMAfC/Mbu8f0vl5+cjLy9Pqa1Jkya4f/8+nj9/jjNnzpSJ9fX+pXbv3o25c+di1qxZmDZtmtK8jh074uLFi7h69Sp+/PFH/PjjjwBeHm9YW1vDw8MD3333HXx9fbFnzx78/e9/V1wBoCoeVdujzjarWlajRo3w+eefY9euXWXO3hcWFuKdd96Bh4eH0jMFSkVHRwMADh06hHXr1uHYsWMICgrCmDFjAACPHz/G7du3Ff1LC/xt27bBx8cHUqkUz549w549ezB16lSVeSWqCyzwibRMfT2QOHXqVIUDaanSb9f/+c9/wtfXF40bNwYAmJmZITk5GZGRkRW+sq5nz54wNTVV+QReuVyuFPerZxlKCSFUvt83KSlJ8SReIiKiyvDz88PGjRvh5+eHgQMHYvjw4Rg+fDjs7OzwzTfflOmvp6eHOXPmIDAwEOvXr8eZM2dgbm6O1NRUhISEAAA2bNiA+/fvK6Y3btyIZ8+e4fHjx1i6dCkeP36MH374Af/6178UX3pPmTIFMpkMQ4cORbdu3ZTWeenSJSxbtgwAsHz5cnzyySfw9vbGkCFDcPz4cZw8eRIbNmwoE6u/vz+aN28ONzc3JCYm4u9//zucnZ2RkpICAwMDhIaGYuzYsdi5cyeWL1+OiRMnom/fvirjSUlJKbM96mxzRdvm7e2N9u3bY9iwYUpxCyHw8OFD/Pe//0VMTEyZ7bpy5Qr09fURGhqKjRs34uOPP8b58+cRHh6Ov/zlL7hw4YLinnvgZYF/6tQpWFtbo0OHDpBKpQgLC4OLiwtsbGxU7hdEdUIQkVbatWuXcHZ2Fq6urmLYsGHC1dVV7Nixo0y/AQMGCCcnJ+Hn5ycCAgLEyJEjxe3bt4UQQqSkpIgxY8YIAMLX11ckJSUppmfNmiWePn0qHj16JJYsWSIAiI4dO4oDBw6I58+fCyGEuHbtmrCxsREuLi7iwYMHwtbWVlhbW4tr166VG7dcLhcSiUQ0adJEPHv2TNF+7NgxAUAMGzbsjds+fvx4MW/ePKW2s2fPitatWwupVCr2798v0tPTxcyZMwUAMW7cOBEXFyf+/e9/i7Zt2wpTU1Nx8OBBxWcTExOFkZGRePz48RvXTUREVB0DBgwQn376aV2HoTMSExOFv79/ufNXrVolkpKSyrQPHz5c9OzZU+31jBo1SrRs2VKcOHFCaToiIqLyQRPVIIkQFZxqIyKt5+rqCjs7O+zevbtW1rd69WqMHj1a8S7dmnD79m2MHz9e5av+qmLr1q24c+cONm/erJHlERERlae2x2VdN3/+fIwfP77M63MBIDU1FWFhYQgMDCwzr2XLlnB3d8f27dvVWo+XlxciIiIQHx8PiUQCT09PREVFITY2ttrbQKRJtffeDSLSeampqSgqKqrR4h54+fq/v/3tbzh06BBGjx5drWUVFxfjxx9/xOHDhzUUHRERUfmKi4vLfRMOqScqKgpr165F586dkZKSorK4z83NxdWrVxEQEFBmXnJyMh4/flypVwOHhoYqTe/atavygRPVAt6DT6TjautAoqKBtCYsXrwY169fx927d6u8DCEEVqxYgY0bN8LMzEyD0RERESmTy+XYsWMHbty4objXm6rmyZMnOHHiBG7evIlNmzap7NO0aVOMHDlS5QOB27VrByEEJk+eXNOhEtU6XqJPpKPkcjlCQ0Mxd+5cNG3aFDt27MBHH31U12Fp3MmTJ+Hm5lal19NcvHgRDg4OsLKyqoHIiIiIiIhqFwt8IiIiIiIiIh3AS/SJiIiIiIiIdAALfCIiIiIiIiIdwAKfiIiIiIiISAewwCciIiIiIiLSASzwiYiIiIiIiHQAC3wiIiIiIiIiHcACn4iIiIiIiEgHsMAnIiIiIiIi0gEs8ImIiIiIiIh0AAt8IiIiIiIiIh3w/wHbhv4QcERSbQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(dmax,Eabs,color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN,EabsN,color='grey',label='Simplified uniaxial material')\n",
    "plt.xlim(0,1)\n",
    "plt.ylim(0,1500)\n",
    "plt.xlabel(r'Uplift, $w$ (m)',fontsize=12)\n",
    "plt.ylabel(r'Absorbed Energy (kJ)',fontsize=12)\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(dmax[10:]/wy,ksi[10:],'o',color='k',label='Refined Base Plate Model (Malhotra & Veletsos, 1994)')\n",
    "plt.plot(dmaxN[10:]/wy,ksiN[10:],'o',color='grey',label='Simplified uniaxial material')\n",
    "plt.xlim(0,50)\n",
    "plt.ylim(0,0.2)\n",
    "plt.xlabel(r'Uplift Ductility, $\\mu_{w}$',fontsize=12)\n",
    "plt.ylabel(r'Equivalent Viscous Damping Ratio, $\\xi_{eq}$',fontsize=12)\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "16ef7c75-7034-45ab-a002-2b6169bb791b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "9c6f3117-4d40-43a9-b383-281611154d46",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "n = np.linspace(0,145,145, dtype='int')\n",
    "gamma = fillr*H/R\n",
    "vn = np.zeros(len(n))\n",
    "for i in range(len(n)):\n",
    "    vn[i] = np.pi*(2*n[i]+1)/2\n",
    "    \n",
    "I1 = np.zeros(len(n))\n",
    "I1p = np.zeros(len(n))\n",
    "\n",
    "for i in range(len(n)):\n",
    "    I1[i] = scp.special.i1(vn[i]/gamma)\n",
    "    I1p[i] = scp.special.i0(vn[i]/gamma)- scp.special.i1(vn[i]/gamma)/(vn[i]/gamma)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "0a9f2a36-d2d5-4e74-b1ca-ea509eb383ee",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "mi = np.sum(2*mtot*gamma*(I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "07e3d09a-14ce-4bb6-9903-e29ede87766d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5917228188566012"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mi/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "3efc7029-16bb-4e1b-9771-27a104f8cc83",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hi = H*np.sum((-1)**n*I1*(vn*(-1)**n-1)/(vn**4*I1p))/np.sum((I1/(I1p*vn**3)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "25ad76c9-630b-4d1d-a1a6-e62e0f3bb6bf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.702689319167032"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "a3d5dd75-7b72-4f12-bd07-715b4030b4b0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Ci = 6.2\n",
    "ro = 998\n",
    "tw = 17.7/1000\n",
    "Es1 = Es*1000\n",
    "Ti = Ci*H*(ro/Es1)**0.5/(tw/R)**0.5\n",
    "ki = 4*np.pi**2*mi/Ti**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "2e45154f-e4df-4acf-930d-cd559ee56f88",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lam1 = 1.8412\n",
    "mc = mtot*2*np.tanh(lam1*gamma)/(lam1*gamma*(lam1**2-1))\n",
    "g = 9.805"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "93573e94-9f8e-4e4c-8f31-d945e6d0afb1",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.39055060338333925"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mc/mtot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "04f8ac5b-d211-4ca9-a2ff-d92fdea792e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "hc = H*(1+(1-np.cosh(lam1*gamma))/(lam1*gamma*np.sinh(lam1*gamma)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "7dd64463-8374-4845-94c7-955885dc89da",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.324095026568012"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "b423bbaa-34a3-41e6-859e-e2c41b361993",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Tc = 2*np.pi*(R/g)**0.5/(lam1*np.tanh(lam1*H/R))**0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "30b5435d-da2f-4918-8382-0134ce3d536c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.583430116180643"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "266cb6a2-8640-40d5-8137-27f94562bdd7",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def Base_Shear(L):\n",
    "    mm = 1-((L)/(2*R))\n",
    "    thm = np.arctan(mm/(1-mm))\n",
    "    km = (2/(thm)**2)*(1-np.cos(thm))\n",
    "    Wsm = Wtot*(1-mm**2)\n",
    "    Wfm = Wtot-Wsm\n",
    "    Mm=Wsm*km*R+Wfm*R*(1-mm)\n",
    "    Vm = Mm/hi\n",
    "    return Vm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "3e66127a-61ce-43ab-b015-7ab0b830ea9f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6895.139791726913"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vyt = Base_Shear(Ly)\n",
    "Vyt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "3d2a5b72-8f01-472c-944b-018a0258dd3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0012400988061572285"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy*hi/(2*R)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "1bad99af-7a66-4504-b19c-31ae6dff9a15",
   "metadata": {},
   "outputs": [],
   "source": [
    "jm = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/disp.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "904bbadb-495c-4ec6-bd4f-58dfe49aa9a5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "Apo = np.trapz(jm[:,0],jm[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "d9c007fd-86b0-4c5e-907f-ec024a024e8b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "68.22936885750005\n"
     ]
    }
   ],
   "source": [
    "dy = 0.0012\n",
    "Vy = 6000\n",
    "dmax = jm[-1,1]\n",
    "Vmax = jm[-1,0]\n",
    "\n",
    "Abl = dy*Vy*0.5+(Vmax+Vy)*0.5*(dmax-dy)\n",
    "print(abs(Abl-Apo))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "7af5ecbd-e91e-4543-828e-818d2c6f8a8b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 37509.465000000004)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jm[:,1],jm[:,0])\n",
    "plt.plot((0,dy),(0,Vy),color='k')\n",
    "plt.plot((dy,dmax),(Vy,Vmax),color='k')\n",
    "plt.plot((0,dmax),(0.1*Vy,0.1*Vy),color='k',ls='--')\n",
    "plt.xlabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "63ea2ff4-e3d1-4427-9114-be7e647584e8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "jmI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/dispI.out')\n",
    "upliftI = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/UpliftI.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "e236f524-7fac-4c5f-bdba-9a7eb444d97e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002414091742016849"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Vyt/ki+dy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "cc93b6fc-22d1-418d-960d-5636073fd3f7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17.4850912134998\n"
     ]
    }
   ],
   "source": [
    "ApoI = np.trapz(jmI[:,0],jmI[:,1])\n",
    "dyI = 0.003\n",
    "VyI = 5500\n",
    "dmaxI = 0.1\n",
    "VmaxI = jmI[-1,0]\n",
    "\n",
    "AblI = dyI*VyI*0.5+(VmaxI+VyI)*0.5*(dmaxI-dyI)\n",
    "print(abs(AblI-ApoI))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "4281113e-0cea-4160-afeb-a2d966b67a31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 33978.0)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jmI[:,1],jmI[:,0])\n",
    "plt.plot((0,dyI),(0,VyI),color='k')\n",
    "plt.plot((dyI,dmaxI),(VyI,VmaxI),color='k')\n",
    "plt.plot((0,dmaxI),(0.1*VyI,0.1*VyI),color='k',ls='--')\n",
    "plt.xlabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.ylabel(r'Force, $F$ (kN)')\n",
    "plt.xlim(0)\n",
    "plt.ylim(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "ac759354-8b47-4699-a038-c894e3e33f51",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.25366178031398423"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(Vyt-VyI)/VyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "c54c0929-aefb-4cb2-b10e-cf4dd86e61f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.4331540473244555"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(upliftI[:,1],jmI[:,1])\n",
    "plt.plot(upliftI[:,1],upliftI[:,1]*(hi/(2*R))*1.2)\n",
    "plt.ylabel(r'Displacement of impulsive mass, $\\Delta_{i}$ (m)')\n",
    "plt.xlabel(r'Uplift, $w$ (m)')\n",
    "(wpl1*hi/(2*R)*1.2)/dyI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "4a835477-b872-485a-84c7-df92c4a12f88",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBK = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_M_1.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "615c4927-4e4e-4e07-aec8-4f5c0bda6fe0",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "#wcomp = np.linspace(0.001,0.3,3000)\n",
    "Lcomp = np.zeros(len(dataBK[:,0]))\n",
    "Mcomp = np.zeros(len(Lcomp))\n",
    "\n",
    "for i in range(3,len(dataBK[:,0])):\n",
    "    Lcomp[i] = Uplift_SepL(dataBK[i,0]/1000)\n",
    "    Mcomp[i] = Base_Shear(Lcomp[i])*hi/1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "9bf7b736-b3bd-40a5-b17e-bc8010da570d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 227.74397768665742)"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dataBK[:,0],Mcomp)\n",
    "plt.plot(dataBK[:,0],dataBK[:,1])\n",
    "plt.plot(upliftI[:,1]*1000,jmI[:,0]*hi/1000)\n",
    "plt.xlabel(r'Uplift, $w$ (mm)')\n",
    "plt.ylabel(r'Overturning Moment, $M$ (MNm)')\n",
    "plt.xlim(0,250)\n",
    "plt.ylim(0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "b1bbeeea-3ed4-45fc-b3a4-16edf0b691c0",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.885197409134182"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Rsquared(Mcomp,dataBK[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "b444f335-6d3c-4f73-a0db-fedcf7bdab56",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.12119884111701626\n",
      "0.31484491392103137\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "array([0.14813753, 0.31484491, 0.23422429, 0.169924  , 0.12967128,\n",
       "       0.10572707, 0.07667421, 0.05800075, 0.04040053, 0.03442912,\n",
       "       0.0353442 , 0.03513565, 0.04075374, 0.04821044, 0.05532874,\n",
       "       0.06266527, 0.06869096, 0.0785896 , 0.08631471, 0.09469858,\n",
       "       0.10218811, 0.10831376, 0.11351497, 0.11827778, 0.12362327,\n",
       "       0.12838306, 0.13208029, 0.13635342, 0.14085489, 0.1475044 ,\n",
       "       0.14985799, 0.15462584, 0.15730201, 0.16031496, 0.16513479,\n",
       "       0.16978075, 0.17422343, 0.17679234, 0.18230599, 0.18875601])"
      ]
     },
     "execution_count": 102,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RE = np.zeros((len(dataBK[:,1])-9))\n",
    "\n",
    "for i in range(9,len(dataBK[:,1])):\n",
    "    RE[i-9] = abs(Mcomp[i]-dataBK[i,1])/dataBK[i,1]\n",
    "   \n",
    "MRE = np.mean(RE)\n",
    "print(MRE)\n",
    "print(max(RE))\n",
    "RE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 380,
   "id": "9845312b-a803-4357-b3b5-7c33685a17c4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "56.336223910789286"
      ]
     },
     "execution_count": 380,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wpl1*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 829,
   "id": "083e738c-e27f-43b2-bc3f-c94167f2f6c4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.143420076563426"
      ]
     },
     "execution_count": 829,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wy*1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 828,
   "id": "c8d25662-f2bd-4059-8ac6-16df00263ef9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.00000000e+00, -2.99401198e-01,  0.00000000e+00,  2.99401198e-01,\n",
       "        5.98802395e-01,  2.99401198e-01,  1.49700599e+00,  2.69461078e+00,\n",
       "        5.98802395e+00,  9.58083832e+00,  1.28742515e+01,  1.88622754e+01,\n",
       "        2.54491018e+01,  3.17365269e+01,  4.19161677e+01,  5.17964072e+01,\n",
       "        6.37724551e+01,  7.57485030e+01,  8.77245509e+01,  1.00000000e+02,\n",
       "        1.14670659e+02,  1.31736527e+02,  1.46107784e+02,  1.60479042e+02,\n",
       "        1.76347305e+02,  1.92514970e+02,  2.05688623e+02,  2.21257485e+02,\n",
       "        2.35628742e+02,  2.50000000e+02,  2.67964072e+02,  2.83832335e+02,\n",
       "        2.96107784e+02,  3.08682635e+02,  3.17664671e+02])"
      ]
     },
     "execution_count": 828,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataBK[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 301,
   "id": "d8cb99fd-4d64-41cc-a6cd-23760dbf6a03",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.2676633752470275"
      ]
     },
     "execution_count": 301,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),1]\n",
    "Vpl1 = jmI[abs(wpl1-upliftI[:,1]).argmin(),0]\n",
    "\n",
    "Vpl1t = Base_Shear(Lpl1)\n",
    "\n",
    "(Vpl1t-Vpl1)/Vpl1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "681217ff-e09b-4aec-8e9b-9193bf710f5b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "b03914bb-8734-4148-bde7-4168001d8e2c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "dataBKC=np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DataBK_C_1.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "de87d150-ff38-40a3-bfa9-0f33cdf74123",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "jm2 = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Tank A/ResultsJM/dispC.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "ebdd7feb-f7ec-4487-a1e8-bd4ed13e5ed9",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Overturning Moment, $M_{OVT}$ (MNm)')"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(jm2[inxJ[8]:inxJ[9],1]/hi*1000,jm2[inxJ[8]:inxJ[9],0]*hi/1000)\n",
    "plt.plot(dataBKC[:,0],dataBKC[:,1])\n",
    "plt.xlabel(r'Base Rotation, $\\Psi_{i}$ (mrad)')\n",
    "plt.ylabel(r'Overturning Moment, $M_{OVT}$ (MNm)')\n",
    "#plt.xlim(0,0.01)\n",
    "#plt.ylim(0,20000)\n",
    "#plt.plot((0.003,0.003),(0,40000),ls='--',color='k')\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure5_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "ad81dd77-91aa-4f3e-98b3-58df41344599",
   "metadata": {},
   "outputs": [],
   "source": [
    "inxJ = []\n",
    "for i in range(0,len(jm2[:,1])):\n",
    "    if(i == 0):\n",
    "        inxJ.append(0)\n",
    "    if(jm2[i-1,1]<0.0 and jm2[i,1]>0.0):\n",
    "        inxJ.append(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "1c4f3108-965b-4cef-8644-4acb5e9d4783",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x263e03a6390>]"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nJ = 9\n",
    "plt.plot(jm2[inxJ[nJ-1]:inxJ[nJ],1]/hi*1000,jm2[inxJ[nJ-1]:inxJ[nJ],0]*hi/1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 839,
   "id": "45488260-b6ba-4c02-8247-d0149bf5420b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "EJ = np.zeros(len(inxJ))\n",
    "ksiJ = np.zeros(len(inxJ))\n",
    "dmaxJ = np.zeros(len(inxJ))\n",
    "\n",
    "for i in range(2,len(inxJ)):\n",
    "    EJ[i] = 0.0\n",
    "    for j in range(inxJ[i-1],inxJ[i]):\n",
    "        EJ[i] = EJ[i] + 2*0.5*(jm2[j-1,0]+jm2[j,0])*(jm2[j,1]-jm2[j-1,1])\n",
    "    ksiJ[i] = EJ[i]/(2*np.pi*max(jm2[inxJ[i-1]:inxJ[i],0])*max(jm2[inxJ[i-1]:inxJ[i],1]))\n",
    "    dmaxJ[i] = max(jm2[inxJ[i-1]:inxJ[i],1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 840,
   "id": "0d8ff944-fc9a-449e-9434-e6375e6edb25",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.   ,  0.   ,  2.   ,  3.   ,  4.5  ,  6.   , 11.5  , 17.5  ,\n",
       "       23.   , 29.   , 35.   , 44.995, 52.495, 57.5  , 57.5  ])"
      ]
     },
     "execution_count": 840,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dy = 0.002\n",
    "mu = dmaxJ/dy\n",
    "mu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 841,
   "id": "5dbab674-2dff-4cf8-bc36-7fa864b849f2",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1d6e74d1c50>"
      ]
     },
     "execution_count": 841,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "muc = np.linspace(1,50,5000)\n",
    "plt.plot(mu[4:],ksiJ[4:],'o',label='Data')\n",
    "#plt.plot(muc,func(muc,0.65,0.08,1),label=r'Porposed model, $R^2=0.99$')\n",
    "\n",
    "plt.xlabel(r'Ductility, $\\mu$',fontsize=12)\n",
    "plt.ylabel(r'Hysteretic Damping Ratio, $\\xi_{hyst}$',fontsize=12)\n",
    "plt.xlim(0,50)\n",
    "plt.ylim(0,0.3)\n",
    "plt.legend(fontsize=10)\n",
    "#plt.savefig('C:/Users/rober/Documents/ROSE/PostDoc/Figure6_P2.tiff',dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "f80dcfbd-a381-4dd1-a692-a7bdf6c2ff68",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "with open('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/Tank Archetypes/Damping_Tank_A.txt','w') as file1:\n",
    "    for i in range(1,len(mu)):\n",
    "        file1.write(str(round(mu[i],3))+' '+str(round(ksiJ[i],3))+'\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "49ec3b46-9f01-4a26-8029-027881cb50de",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "R/tb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "cb9d7343-0e40-469c-bdb2-9d6b5e3419a4",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def func(x,a,b,c):\n",
    "    return a*np.exp(b*(x-c))/(1+np.exp(b*(x-c)))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "5f96d1d8-f481-413e-959c-1bbb5e184793",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.66886039,  0.07135216, -1.05733832])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,mu[4:],ksiJ[4:])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "c03ef718-1a38-4a2b-8cc6-d5458b752cb8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.021419544108285653"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot = 0\n",
    "for i in range(4,11):\n",
    "    SStot = SStot + (ksiJ[i] - np.mean(ksiJ[4:]))**2\n",
    "SStot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "id": "340106c9-3607-4b4a-80d5-48ba8a90048f",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "SSerr1 = 0\n",
    "for i in range(4,11):\n",
    "    SSerr1 = SSerr1 + (ksiJ[i] - func(mu[i],0.5,0.07,1))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "id": "f9898fd5-cd61-4105-8270-d02f16c81b7d",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9757307113097773"
      ]
     },
     "execution_count": 141,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-(SSerr1/SStot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "id": "bccaf51b-2b9a-4b44-b738-69f991ff2453",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.46046532, -0.08848636,  6.92871504])"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "popt,pcov = scp.optimize.curve_fit(func,dmaxJ[4:11]/dy,ksiJ[4:11])\n",
    "popt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "id": "9da62be6-9d2a-44b5-822b-c8ce0a778c7e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.008880049081023772"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SStot2 = 0\n",
    "for i in range(4,11):\n",
    "    SStot2 = SStot2 + (ksiJ[i] - np.mean(ksiJ[2:]))**2\n",
    "SStot2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "880344e7-91f8-4991-9df2-e58ca8a8cd8e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "SSerr2 = 0\n",
    "for i in range(4,11):\n",
    "    SSerr2 = SSerr2 + (ksiJ[i] - func(mu[i],0.5,0.08,7))**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "id": "efcf3d59-ba16-40bf-85c8-8303146d5c9a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8920747477792438"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-(SSerr2/SStot2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "078460f4-d7a7-4815-b0a7-0930d4dbcd6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/disp5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "73e31d76-26b9-4599-b5ba-c969aa2d82be",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fbc8bba50>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,0],dspring[:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "520274a1-791a-4f8a-b37f-ee1911cc62b5",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "fspring = np.loadtxt('C:/Users/rober/Documents/ROSE/PostDoc/Tanks/DDBDTanks/DynamicAnalyses/Results/force5.out')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "15998b60-27c3-45a2-986c-ded8552c61ee",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc08ae390>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(fspring[:,0],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "bd6debf1-9819-4607-91ef-030fda5d939a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x14fc07da650>]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dspring[:,1],-fspring[:,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1873dd9b-488e-4897-9e27-d191a84a4631",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
